Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - Chapter Review - Review Exercises - Page 794: 16


$\begin{bmatrix} 9&-31\\-6&-3\end{bmatrix}$

Work Step by Step

We are given the matrices: $B=\begin{bmatrix}4&-3&0\\12&1&-2\end{bmatrix}, C=\begin{bmatrix}3&-4\\1&5\\5&2\end{bmatrix}$ Compute $BC$: $BC=\begin{bmatrix}4&-3&0\\1&1&-2\end{bmatrix}\times\begin{bmatrix}3&-4\\1&5\\5&2\end{bmatrix}$ $=\begin{bmatrix}4(3)+(-3)(1)+0(5)&4(-4)+(-3)5+0(2)\\1(3)+1(1)+(-2)5&1(-4)+1(5)+(-2)2\end{bmatrix}$ $=\begin{bmatrix} 9&-31\\-6&-3\end{bmatrix}$
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