## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Exercise Set - Page 917: 18

#### Answer

$X=\left[ \begin{matrix} -8 & -8 \\ 2 & -9 \\ 8 & -4 \\ \end{matrix} \right]$

#### Work Step by Step

Consider the matrix equation, $X-B=A$ This implies that, $X=A+B$ Now add the matrix $A$ and $B$ as below: \begin{align} & X=A+B \\ & =\left[ \begin{matrix} -3 & -7 \\ 2 & -9 \\ 5 & 0 \\ \end{matrix} \right]+\left[ \begin{matrix} -5 & -1 \\ 0 & 0 \\ 3 & -4 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} -3+\left( -5 \right) & -7+\left( -1 \right) \\ 2+0 & -9+0 \\ 5+3 & 0-4 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} -8 & -8 \\ 2 & -9 \\ 8 & -4 \\ \end{matrix} \right] \end{align}

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