Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.5 Perform Basic Matrix Operations - 3.5 Exercises - Problem Solving - Page 192: 33b

Answer

$\begin{bmatrix}56&78&30\\60&57&26\end{bmatrix}$

Work Step by Step

In part a) we built the matrices $M$ and $J$: $$M=\begin{bmatrix}31&42&18\\22&25&11\end{bmatrix}$$ $$J=\begin{bmatrix}25&36&12\\38&32&15\end{bmatrix}.$$ Determine $M+J$: $$\begin{align*} M+J&=\begin{bmatrix}31&42&18\\22&25&11\end{bmatrix}+\begin{bmatrix}25&36&12\\38&32&15\end{bmatrix}\\ &=\begin{bmatrix}31+25&42+36&18+12\\22+38&25+32&11+15\end{bmatrix}\\ &=\begin{bmatrix}56&78&30\\60&57&26\end{bmatrix}. \end{align*}$$ The matrix $M+J$ represents the total sales in May and June for each store and each model.
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