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Número real vezes matriz

BOTE FÉ NA MATEMÁTICA 2 questions

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Questions in this quiz (2)

  1. 1Dadas as matrizes \(A = \left( \begin{array}{rr}
    3 & -1 \\
    4 & 5
    \end{array}\right)\) e \(B = \left( \begin{array}{rr}
    2 & 3 \\
    -8 & 10
    \end{array}\right)\), marque a alternativa que fornece \(3A-\frac{1}{2}B\).
    1. A\(\left( \begin{array}{rr}
      8 & -\frac{9}{2} \\
      16 & 10
      \end{array}\right)\)
    2. B\(\left( \begin{array}{rr}
      2 & -\frac{4}{2} \\
      16 & 10
      \end{array}\right)\)
    3. C\(\left( \begin{array}{rr}
      -8 & \frac{9}{2} \\
      -16 & -10
      \end{array}\right)\)
    4. D\(\left( \begin{array}{rr}
      3 & -\frac{9}{2} \\
      6 & 1
      \end{array}\right)\)
  2. 2Calcular a matriz \(X\) na equação \(3X-A+2B=0\), sabendo que \(A=\left( \begin{array}{rr}
    8 & -5 \\
    -6 & 1
    \end{array}\right)\), \(B = \left( \begin{array}{rr}
    1 & \frac{1}{2} \\
    3 & 4
    \end{array}\right)\) e \(0\) é a matriz nula.
    1. A\(X=\left( \begin{array}{rr}
      2 & -2 \\
      -4 & -\frac{7}{3}
      \end{array}\right)\)
    2. B\(X=\left( \begin{array}{rr}
      -2 & 2 \\
      4 & -\frac{7}{3}
      \end{array}\right)\)
    3. C\(X=\left( \begin{array}{rr}
      1 & -1 \\
      -2 & -\frac{4}{3}
      \end{array}\right)\)

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Description
Nessa lista iremos trabalhar com o conceito de multiplicação de um número real por uma matriz
Language
Português
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