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: 20

Answer

$\begin{bmatrix} \frac{19}{2} & 2 & -7 & \frac{9}{2}\\ \end{bmatrix}$

Work Step by Step

We first add the two matrices: $\begin{bmatrix} 5+14 & -2+6 & 4-18 & 0+9\\ \end{bmatrix}$ = $\begin{bmatrix} 19 & 4 & -14 & 9\\ \end{bmatrix}$ We then multiply the matrix by the scalar $\frac{1}{2}$: $\begin{bmatrix} 19(\frac{1}{2}) & 4(\frac{1}{2}) & -14(\frac{1}{2}) & 9(\frac{1}{2})\\ \end{bmatrix}$ = $\begin{bmatrix} \frac{19}{2} & 2 & -7 & \frac{9}{2}\\ \end{bmatrix}$
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