Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - 12-2 Matrix Multiplication - Practice and Problem-Solving Exercises - Page 777: 10

Answer

$-D=\begin{bmatrix} -5 & -1 \\ 0 & -2 \end{bmatrix}$

Work Step by Step

Multiplying each element of $ D= \begin{bmatrix} 5 & 1 \\ 0 & 2 \end{bmatrix} $ by $-1,$ then \begin{align*} -D&= \begin{bmatrix} 5(-1) & 1(-1) \\ 0(-1) & 2(-1) \end{bmatrix} \\\\&= \begin{bmatrix} -5 & -1 \\ 0 & -2 \end{bmatrix} .\end{align*} Hence, $ -D=\begin{bmatrix} -5 & -1 \\ 0 & -2 \end{bmatrix} .$
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