Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - 10.2 - Operations with Matrices - 10.2 Exercises - Page 725: 55

Answer

$\begin{bmatrix} -4 & 10\\ 3 & 14\\ \end{bmatrix}$

Work Step by Step

First add the two matrices within the parentheses: $\begin{bmatrix} 4-2 & 0+3\\ 0-3 & -1+5\\ -1+0 & 2-3\\ \end{bmatrix}$ = $\begin{bmatrix} 2 & 3\\ -3 & 4\\ -1 & -1\\ \end{bmatrix}$ Then multiply the matrix outside the parentheses with the matrix found above: $\begin{bmatrix} 0 & 2 & -2\\ 4 & 1 & 2\\ \end{bmatrix}$$\begin{bmatrix} 2 & 3\\ -3 & 4\\ -1 & -1\\ \end{bmatrix}$ = $\begin{bmatrix} 0(2) + 2(-3) + (-2)(-1) & 0(3) + 2(4) + (-2)(-1)\\ 4(2) + 1(-3) + 2(-1) & 4(3) + 1(4) + 2(-1)\\ \end{bmatrix}$ = $\begin{bmatrix} 0-6+2 & 0+8+2\\ 8-3-2 & 12+4-2\\ \end{bmatrix}$ = $\begin{bmatrix} -4 & 10\\ 3 & 14\\ \end{bmatrix}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.