If $A = \begin{bmatrix} 1 & -2 \\ 3 & 0 \end{bmatrix}$,$B = \begin{bmatrix} -1 & 4 \\ 2 & 3 \end{bmatrix}$,$C = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$,then $5A - 3B - 2C = $

  • A
    $\begin{bmatrix} 8 & 20 \\ 7 & 9 \end{bmatrix}$
  • B
    $\begin{bmatrix} 8 & -20 \\ 7 & -9 \end{bmatrix}$
  • C
    $\begin{bmatrix} -8 & 20 \\ -7 & 9 \end{bmatrix}$
  • D
    $\begin{bmatrix} 8 & 7 \\ -20 & -9 \end{bmatrix}$

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If $A=\left[\begin{array}{rrr}0 & 6 & 7 \\ -6 & 0 & 8 \\ 7 & -8 & 0\end{array}\right]$,$B=\left[\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 2 \\ 1 & 2 & 0\end{array}\right]$,and $C=\left[\begin{array}{c}2 \\ -2 \\ 3\end{array}\right]$. Calculate $AC$,$BC$,and $(A + B)C$. Also,verify that $(A+B)C = AC + BC$.

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