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 - Chapter Test - Page 796: 10



Work Step by Step

We are given the matrices: $A=\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix},B=\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix}$ Compute $BA$: $BA=\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix}\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix}$ $=\begin{bmatrix}1(1)+(-2)(0)+5(3)&1(-1)+(-2)(-4)+5(2)\\0(1)+3(0)+1(3)&0(-1)+3(-4)+1(2)\end{bmatrix}$ $=\begin{bmatrix}16&17\\3&-10\end{bmatrix}$
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