General

MCQ - 38-8770

Question:

Compute $- 17 [\begin{matrix} - 9 & - 12 & 16 \\ 0 & - 7 & 10 \end{matrix}]$

$[\begin{matrix} 153 & 204 & - 272 \\ 0 & 119 & 170 \end{matrix}]$
$[\begin{matrix} 153 & - 204 & - 272 \\ 0 & 119 & - 170 \end{matrix}]$
$[\begin{matrix} 153 & 204 & 272 \\ 0 & 119 & - 170 \end{matrix}]$
$[\begin{matrix} 153 & - 204 & - 272 \\ 0 & 119 & - 170 \end{matrix}]$

Correct Answer: D

Explanation:

In order to compute this, we need to multiply each entry by the scalar −17.

- 17 [\begin{matrix} - 9 & - 12 & 16 \\ 0 & - 7 & 10 \end{matrix}] = [\begin{matrix} - 17 \cdot (- 9) & - 17 \cdot (- 12) & - 17 \cdot 16 \\ - 17 \cdot 0 & - 17 \cdot - 7 & - 17 \cdot 10 \end{matrix}] = [\begin{matrix} 153 & 204 & - 272 \\ 0 & 119 & - 170 \end{matrix}]

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