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 - 11.4 Matrix Algebra - 11.4 Assess Your Understanding - Page 758: 22

Answer

$\begin{bmatrix}6&14&-14\\2&27&-18\\3&0&33\end{bmatrix}$

Work Step by Step

Refer to sum $\#17$ for determination of $CA$. $\implies I_{3} = \begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}\implies5I_{3} = \begin{bmatrix}5&0&0\\0&5&0\\0&0&5\end{bmatrix}$ $\implies \begin{bmatrix}1&14&-14\\2&22&-18\\3&0&28\end{bmatrix}+\begin{bmatrix}5&0&0\\0&5&0\\0&0&5\end{bmatrix} = CA+5I_{3}$ We add matrices by adding their respective individual elements. $\therefore CA+5I_{3} = \begin{bmatrix}1+5&14&-14\\2&22+5&-18\\3&0&28+5\end{bmatrix}=\begin{bmatrix}6&14&-14\\2&27&-18\\3&0&33\end{bmatrix}$
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