http://www.mysolutions.tecnico.ulisboa.pt//~mysolutions.daemon/wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&feed=atom&action=history
Matriz canónica de uma transformação num espaço de matrizes 2\(\times\)2 - Histórico de revisões
2024-03-28T15:31:03Z
Histórico de edições para esta página nesta wiki
MediaWiki 1.35.2
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=3726&oldid=prev
Ist178052 em 16h54min de 21 de novembro de 2017
2017-11-21T16:54:32Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 16h54min de 21 de novembro de 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Linha 28:</td>
<td colspan="2" class="diff-lineno">Linha 28:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[https://drive.tecnico.ulisboa.pt/api/drive/file/<del class="diffchange diffchange-inline">570023764567411</del>/download]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[https://drive.tecnico.ulisboa.pt/api/drive/file/<ins class="diffchange diffchange-inline">570023764600906</ins>/download]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td></tr>
</table>
Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=3488&oldid=prev
Ist178052 em 16h10min de 5 de outubro de 2017
2017-10-05T16:10:33Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 16h10min de 5 de outubro de 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Linha 28:</td>
<td colspan="2" class="diff-lineno">Linha 28:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[https://drive.tecnico.ulisboa.pt/<del class="diffchange diffchange-inline">download</del>/570023764567411/<del class="diffchange diffchange-inline">instanciastrLinMat.zip</del>]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui[https://drive.tecnico.ulisboa.pt/<ins class="diffchange diffchange-inline">api/drive/file</ins>/570023764567411/<ins class="diffchange diffchange-inline">download</ins>]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td></tr>
</table>
Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2423&oldid=prev
Ist12543 em 23h23min de 1 de novembro de 2016
2016-11-01T23:23:47Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 23h23min de 1 de novembro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Linha 17:</td>
<td colspan="2" class="diff-lineno">Linha 17:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left<del class="diffchange diffchange-inline">(</del>\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right<del class="diffchange diffchange-inline">)</del>\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R})\). A matriz canónica que representa \(T\) é dada por:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left<ins class="diffchange diffchange-inline">[</ins>\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right<ins class="diffchange diffchange-inline">]</ins>\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R})\). A matriz canónica que representa \(T\) é dada por:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A) \(\left<del class="diffchange diffchange-inline">(</del>\begin{array}{cccc}2&#038;-2&#038;0&#038;0\\2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;-2\\0&#038;0&#038;2&#038;1\\\end{array}\right<del class="diffchange diffchange-inline">)</del>\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A) \(\left<ins class="diffchange diffchange-inline">[</ins>\begin{array}{cccc}2&#038;-2&#038;0&#038;0\\2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;-2\\0&#038;0&#038;2&#038;1\\\end{array}\right<ins class="diffchange diffchange-inline">]</ins>\);</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>B) \(\left<del class="diffchange diffchange-inline">(</del>\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right<del class="diffchange diffchange-inline">)</del>\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>B) \(\left<ins class="diffchange diffchange-inline">[</ins>\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right<ins class="diffchange diffchange-inline">]</ins>\);</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>C) \(\left<del class="diffchange diffchange-inline">(</del>\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right<del class="diffchange diffchange-inline">)</del>\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>C) \(\left<ins class="diffchange diffchange-inline">[</ins>\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right<ins class="diffchange diffchange-inline">]</ins>\);</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>D) \(\left<del class="diffchange diffchange-inline">(</del>\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right<del class="diffchange diffchange-inline">)</del>\).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>D) \(\left<ins class="diffchange diffchange-inline">[</ins>\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right<ins class="diffchange diffchange-inline">]</ins>\).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2408&oldid=prev
Ist178052 em 16h24min de 25 de outubro de 2016
2016-10-25T16:24:54Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 16h24min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Linha 28:</td>
<td colspan="2" class="diff-lineno">Linha 28:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui<del class="diffchange diffchange-inline">(trLinMat)</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Para obter o zip que contém as instâncias deste exercício clique aqui<ins class="diffchange diffchange-inline">[https://drive.tecnico.ulisboa.pt/download/570023764567411/instanciastrLinMat.zip]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt</div></td></tr>
</table>
Ist178052
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2407&oldid=prev
Ist12543 em 16h15min de 25 de outubro de 2016
2016-10-25T16:15:51Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 16h15min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Linha 9:</td>
<td colspan="2" class="diff-lineno">Linha 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: Ana Moura Santos e Miguel Dziergwa</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: Ana Moura Santos e Miguel Dziergwa</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: Transformações lineares</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: Transformações lineares</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: <ins class="diffchange diffchange-inline">matriz canónica de uma transformação num espaço de matrizes</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: ***</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: ***</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 15 mn</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 15 mn</div></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2404&oldid=prev
Ist12543 em 15h13min de 25 de outubro de 2016
2016-10-25T15:13:21Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h13min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7" >Linha 7:</td>
<td colspan="2" class="diff-lineno">Linha 7:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*ANO: 1</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*ANO: 1</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*LINGUA: pt</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*LINGUA: pt</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: <del class="diffchange diffchange-inline">Equipa Álgebra Linear</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*AUTOR: <ins class="diffchange diffchange-inline">Ana Moura Santos e Miguel Dziergwa</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: <del class="diffchange diffchange-inline">Espaços lineares e transformações </del>lineares</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*MATERIA PRINCIPAL: <ins class="diffchange diffchange-inline">Transformações </ins>lineares</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*DESCRICAO: </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: <del class="diffchange diffchange-inline">easy</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*DIFICULDADE: <ins class="diffchange diffchange-inline">***</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 15 mn</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MEDIO DE RESOLUCAO: 15 mn</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MAXIMO DE RESOLUCAO: 30 mn</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*TEMPO MAXIMO DE RESOLUCAO: 30 mn</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*PALAVRAS CHAVE: </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*PALAVRAS CHAVE: <ins class="diffchange diffchange-inline">transformação num espaço vetorial, transformação linear, matriz canónica, espaço vetorial de matrizes, bases canónicas</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23" >Linha 23:</td>
<td colspan="2" class="diff-lineno">Linha 23:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>B) \(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\);</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>B) \(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\);</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>C) \(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\);</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>C) \(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\);</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>D) \(\left(\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right)\)<del class="diffchange diffchange-inline">;</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>D) \(\left(\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right)\)<ins class="diffchange diffchange-inline">.</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2403&oldid=prev
Ist12543 em 15h10min de 25 de outubro de 2016
2016-10-25T15:10:10Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h10min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Linha 19:</td>
<td colspan="2" class="diff-lineno">Linha 19:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R})\). A matriz canónica que representa \(T\) é dada por:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R})\). A matriz canónica que representa \(T\) é dada por:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;<del class="diffchange diffchange-inline">0</del>&#038;<del class="diffchange diffchange-inline">-2</del>&#038;0\\<del class="diffchange diffchange-inline">0</del>&#038;<del class="diffchange diffchange-inline">2</del>&#038;0&#038;<del class="diffchange diffchange-inline">-2</del>\\<del class="diffchange diffchange-inline">2</del>&#038;0&#038;<del class="diffchange diffchange-inline">1</del>&#038;<del class="diffchange diffchange-inline">0</del>\\0&#038;<del class="diffchange diffchange-inline">2</del>&#038;<del class="diffchange diffchange-inline">0</del>&#038;1\\\end{array}\right)\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>B)\(\left(\begin{array}{<del class="diffchange diffchange-inline">cccc</del>}2&#038;2&#038;0&#038;0\\<del class="diffchange diffchange-inline">-2</del>&#038;<del class="diffchange diffchange-inline">1</del>&#038;0&#038;<del class="diffchange diffchange-inline">0</del>\\<del class="diffchange diffchange-inline">0</del>&#038;0&#038;<del class="diffchange diffchange-inline">2</del>&#038;<del class="diffchange diffchange-inline">2</del>\\0&#038;<del class="diffchange diffchange-inline">0</del>&#038;<del class="diffchange diffchange-inline">-2</del>&#038;1\\\end{array}\right)\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A) \(\left(\begin{array}{cccc}2&#038;<ins class="diffchange diffchange-inline">-2</ins>&#038;<ins class="diffchange diffchange-inline">0</ins>&#038;0\\<ins class="diffchange diffchange-inline">2</ins>&#038;<ins class="diffchange diffchange-inline">1</ins>&#038;0&#038;<ins class="diffchange diffchange-inline">0</ins>\\<ins class="diffchange diffchange-inline">0</ins>&#038;0&#038;<ins class="diffchange diffchange-inline">2</ins>&#038;<ins class="diffchange diffchange-inline">-2</ins>\\0&#038;<ins class="diffchange diffchange-inline">0</ins>&#038;<ins class="diffchange diffchange-inline">2</ins>&#038;1\\\end{array}\right)\);</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">C</del>)\(\left(\begin{array}{cccc}2&#038;<del class="diffchange diffchange-inline">-</del>2&#038;0&#038;0\\2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;<del class="diffchange diffchange-inline">-</del>2\\0&#038;0&#038;2&#038;1\\\end{array}\right)\);</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>B) \(\left(\begin{array}{<ins class="diffchange diffchange-inline">cc</ins>}2&#038;<ins class="diffchange diffchange-inline">-2\\2&#038;1\\\end{array}\right)\);</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">D)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\).</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">C) \(\left(\begin{array}{cccc}</ins>2&#038;0<ins class="diffchange diffchange-inline">&#038;-2</ins>&#038;0\\<ins class="diffchange diffchange-inline">0</ins>&#038;<ins class="diffchange diffchange-inline">2</ins>&#038;0&#038;<ins class="diffchange diffchange-inline">-2</ins>\\<ins class="diffchange diffchange-inline">2</ins>&#038;0&#038;<ins class="diffchange diffchange-inline">1</ins>&#038;<ins class="diffchange diffchange-inline">0</ins>\\0&#038;<ins class="diffchange diffchange-inline">2</ins>&#038;<ins class="diffchange diffchange-inline">0</ins>&#038;1\\\end{array}\right)\);</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">D</ins>) \(\left(\begin{array}{cccc}2&#038;2&#038;0&#038;0\\<ins class="diffchange diffchange-inline">-</ins>2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;<ins class="diffchange diffchange-inline">-</ins>2&#038;1\\\end{array}\right)\);</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2402&oldid=prev
Ist12543 em 15h08min de 25 de outubro de 2016
2016-10-25T15:08:06Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h08min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Linha 17:</td>
<td colspan="2" class="diff-lineno">Linha 17:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}\). A matriz canónica que representa \(T\) é dada por:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}<ins class="diffchange diffchange-inline">)</ins>\). A matriz canónica que representa \(T\) é dada por:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\)<del class="diffchange diffchange-inline">,</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\)<ins class="diffchange diffchange-inline">;</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>B)\(\left(\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right)\)<del class="diffchange diffchange-inline">,</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>B)\(\left(\begin{array}{cccc}2&#038;2&#038;0&#038;0\\-2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;2\\0&#038;0&#038;-2&#038;1\\\end{array}\right)\)<ins class="diffchange diffchange-inline">;</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>C)\(\left(\begin{array}{cccc}2&#038;-2&#038;0&#038;0\\2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;-2\\0&#038;0&#038;2&#038;1\\\end{array}\right)\)<del class="diffchange diffchange-inline">,</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>C)\(\left(\begin{array}{cccc}2&#038;-2&#038;0&#038;0\\2&#038;1&#038;0&#038;0\\0&#038;0&#038;2&#038;-2\\0&#038;0&#038;2&#038;1\\\end{array}\right)\)<ins class="diffchange diffchange-inline">;</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>D)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\)</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>D)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\)<ins class="diffchange diffchange-inline">.</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2401&oldid=prev
Ist12543 em 15h07min de 25 de outubro de 2016
2016-10-25T15:07:15Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h07min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Linha 17:</td>
<td colspan="2" class="diff-lineno">Linha 17:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}). A matriz canónica que representa \(T\) é dada por:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}<ins class="diffchange diffchange-inline">\</ins>). A matriz canónica que representa \(T\) é dada por:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\),</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\),</div></td></tr>
</table>
Ist12543
http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Matriz_can%C3%B3nica_de_uma_transforma%C3%A7%C3%A3o_num_espa%C3%A7o_de_matrizes_2%5C(%5Ctimes%5C)2&diff=2400&oldid=prev
Ist12543 em 15h06min de 25 de outubro de 2016
2016-10-25T15:06:50Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="pt">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisão anterior</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisão das 15h06min de 25 de outubro de 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Linha 17:</td>
<td colspan="2" class="diff-lineno">Linha 17:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}<del class="diffchange diffchange-inline">)</del>). A matriz canónica que representa \(T\) é dada por:</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Considere a transformação linear \(T: \mathcal{M} (2 \times 2, \mathbb{R}) \to \mathcal{M} (2 \times 2, \mathbb{R}) \), em que \( \mathcal{M} (2 \times 2, \mathbb{R}) \) representa o espaço vetorial das matrizes \(2 \times 2\) com entradas reais, definida por \( T(A)=BA \), em que \(B=\)\(\left(\begin{array}{cc}2&#038;-2\\2&#038;1\\\end{array}\right)\) e \(A \in \mathcal{M} (2 \times 2, \mathbb{R}). A matriz canónica que representa \(T\) é dada por:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\),</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A)\(\left(\begin{array}{cccc}2&#038;0&#038;-2&#038;0\\0&#038;2&#038;0&#038;-2\\2&#038;0&#038;1&#038;0\\0&#038;2&#038;0&#038;1\\\end{array}\right)\),</div></td></tr>
</table>
Ist12543