## College Algebra (6th Edition)

Published by Pearson

# Chapter 6 - Matrices and Determinants - Exercise Set 6.3 - Page 624: 18

#### Answer

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

#### Work Step by Step

Use the Properties of Matrix Addition (page 614) $X-B=A$ ... Add matrix B to both sides, ... $-B+B=0$, the zero matrix $X+0=A+B$ $X=A+B$ $X=\left[\begin{array}{ll} -3 & -7\\ 2 & -9\\ 5 & 0 \end{array}\right]+\left[\begin{array}{ll} -5 & -1\\ 0 & 0\\ 3 & -4 \end{array}\right]$ $X=\left[\begin{array}{ll} -8 & -8\\ 2 & -9\\ 8 & -4 \end{array}\right]$

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