## Precalculus (10th Edition)

Published by Pearson

# Chapter 11 - Systems of Equations and Inequalities - Chapter Review - Chapter Test - Page 796: 9

#### Answer

$\begin{bmatrix}4&10&25\\1&-11&2\\-1&26&3\end{bmatrix}$

#### Work Step by Step

We are given the matrices: $B=\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix},C=\begin{bmatrix}4&6\\1&-3\\-1&8\end{bmatrix}$ Compute $CB$: $CB=\begin{bmatrix}4&6\\1&-3\\-1&8\end{bmatrix}\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix}$ $=\begin{bmatrix}4(1)+6(0)&4(-2)+6(3)&4(5)+6(1)\\1(1)+(-3)(0)&1(-2)+(-3)(3)&1(5)+(-3)(1)\\-1(1)+8(0)&-1(-2)+8(3)&-1(5)+8(1)\end{bmatrix}$ $=\begin{bmatrix}4&10&25\\1&-11&2\\-1&26&3\end{bmatrix}$

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