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: 23

Answer

$\begin{bmatrix} -13&7&-12\\ -18&10&-14\\ 17&-7&34\end{bmatrix}$

Work Step by Step

Refer to sum $\#17$ and $\#18$ for determination of $CA$ and $CB$, respectively. $\implies CA-CB = \begin{bmatrix}1&14&-14\\2&22&-18\\3&0&28\end{bmatrix}-\begin{bmatrix}14&7&-2\\20&12&-4\\-14&7&-6\end{bmatrix}$ We subtract two matrices by subtracting their respective individual elements. $\therefore CA-CB = \begin{bmatrix} 1-14&14-7&-14+2\\2-20&22-12&-18+4\\3+14&0-7&28+6\end{bmatrix} =\begin{bmatrix} -13&7&-12\\ -18&10&-14\\ 17&-7&34\end{bmatrix}$
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