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 724: 19

Answer

$\begin{bmatrix} -24 & -4 & 12 \\ -12 & 32 & 12 \end{bmatrix}$

Work Step by Step

$4(\begin{bmatrix} -4 & 0 & 1 \\ 0 & 2 & 3 \end{bmatrix}-\begin{bmatrix} 2 & 1 & -2 \\ 3 & -6 & 0 \end{bmatrix})=4(\begin{bmatrix} -4-2 & 0-1 & 1-(-2) \\ 0-3 & 2-(-6) & 3-0 \end{bmatrix})=4(\begin{bmatrix} -6 & -1 & 3 \\ -3 & 8 & 3 \end{bmatrix})=\begin{bmatrix} 4(-6) & 4(-1) & 4(3) \\ 4(-3) & 4(8) & 4(3) \end{bmatrix}=\begin{bmatrix} -24 & -4 & 12 \\ -12 & 32 & 12 \end{bmatrix}$
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