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: 24

Answer

$\begin{bmatrix} 50&-3\\ 18&21 \end{bmatrix}$

Work Step by Step

Refer to sum $\#15$ and $\#16$ for determination of $AC$ and $BC$, respectively. $\implies AC+BC = \begin{bmatrix}28&-9\\4&23\end{bmatrix}+\begin{bmatrix}22&6\\14&-2\end{bmatrix}$ We add two matrices by adding their respective individual elements. $\therefore AC+BC = \begin{bmatrix}28+22&-9+6\\4+14&23-2\end{bmatrix}=\begin{bmatrix}50&-3\\18&21\end{bmatrix}$
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