Diferenças entre edições de "Conjuntos linearmente independentes em \(R^4\)"

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Indique todos os conjuntos que são linearmente independentes.
 
Indique todos os conjuntos que são linearmente independentes.
  
A) \(\left(\begin{array}{c}\left(\begin{array}{c}1\\1\\1\\2\\\end{array}\right)\\\left(\begin{array}{c}-3\\-3\\-3\\-6\\\end{array}\right)\\\end{array}\right)\)
+
A) \(\left\{\left(\begin{array}{c}-2\\2\\0\\-2\\\end{array}\right),\left(\begin{array}{c}4\\-4\\0\\4\\\end{array}\right)\right\}\)
  
B)\(\left(\begin{array}{c}\left(\begin{array}{c}0\\-2\\2\\2\\\end{array}\right)\\\left(\begin{array}{c}1\\-3\\2\\1\\\end{array}\right)\\\left(\begin{array}{c}-2\\0\\-2\\2\\\end{array}\right)\\\end{array}\right)\)
+
B) \(\left\{\left(\begin{array}{c}-3\\-2\\0\\1\\\end{array}\right),\left(\begin{array}{c}-2\\2\\2\\2\\\end{array}\right),\left(\begin{array}{c}-3\\-3\\0\\3\\\end{array}\right)\right\}\)
  
C)\(\left(\begin{array}{c}\left(\begin{array}{c}-1\\0\\0\\3\\\end{array}\right)\\\left(\begin{array}{c}3\\1\\-1\\2\\\end{array}\right)\\\left(\begin{array}{c}-2\\1\\3\\3\\\end{array}\right)\\\left(\begin{array}{c}0\\1\\2\\1\\\end{array}\right)\\\end{array}\right)\)
+
C) \(\left\{\left(\begin{array}{c}-3\\-1\\3\\-3\\\end{array}\right),\left(\begin{array}{c}2\\-1\\3\\0\\\end{array}\right),\left(\begin{array}{c}-3\\2\\-3\\1\\\end{array}\right),\left(\begin{array}{c}-1\\-1\\-3\\-3\\\end{array}\right)\right\}\)
  
D)\(\left(\begin{array}{c}\left(\begin{array}{c}-3\\3\\-3\\1\\\end{array}\right)\\\end{array}\right)\)
+
D) \(\left\{\left(\begin{array}{c}-1\\-2\\3\\-1\\\end{array}\right)\right\}\)
  
 
E)Nenhuma das anteriores
 
E)Nenhuma das anteriores

Revisão das 15h50min de 21 de dezembro de 2016

Metadata

  • CONTEXTO : Primeiro ciclo universitário
  • AREA: Matemática
  • DISCIPLINA: Álgebra Linear
  • ANO: 1
  • LINGUA: pt
  • AUTOR: Ana Moura Santos e Miguel Dziergwa
  • MATERIA PRINCIPAL: Independência linear
  • DESCRICAO: identificar conjuntos linearmente independentes em R4
  • DIFICULDADE: *
  • TEMPO MEDIO DE RESOLUCAO: 5 mn
  • TEMPO MAXIMO DE RESOLUCAO: 10 mn
  • PALAVRAS CHAVE: coeficientes de uma combinação linear

Indique todos os conjuntos que são linearmente independentes.

A) \(\left\{\left(\begin{array}{c}-2\\2\\0\\-2\\\end{array}\right),\left(\begin{array}{c}4\\-4\\0\\4\\\end{array}\right)\right\}\)

B) \(\left\{\left(\begin{array}{c}-3\\-2\\0\\1\\\end{array}\right),\left(\begin{array}{c}-2\\2\\2\\2\\\end{array}\right),\left(\begin{array}{c}-3\\-3\\0\\3\\\end{array}\right)\right\}\)

C) \(\left\{\left(\begin{array}{c}-3\\-1\\3\\-3\\\end{array}\right),\left(\begin{array}{c}2\\-1\\3\\0\\\end{array}\right),\left(\begin{array}{c}-3\\2\\-3\\1\\\end{array}\right),\left(\begin{array}{c}-1\\-1\\-3\\-3\\\end{array}\right)\right\}\)

D) \(\left\{\left(\begin{array}{c}-1\\-2\\3\\-1\\\end{array}\right)\right\}\)

E)Nenhuma das anteriores


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Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt