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: 33c

Answer

$\begin{bmatrix}28&39&15\\30&28.5&13\end{bmatrix}$

Work Step by Step

In part b) we built the matrix $M+J$: $$\begin{align*} M+J&=\begin{bmatrix}56&78&30\\60&57&26\end{bmatrix}. \end{align*}$$ The matrix $(1/2)(M+J)$ represents the average sales for the two month period for each store and each model. Determine the matrix $(1/2)(M+J)$: $$\begin{align*} \dfrac{1}{2}(M+J)&=\dfrac{1}{2}\begin{bmatrix}56&78&30\\60&57&26\end{bmatrix}\\ &=\begin{bmatrix}28&39&15\\30&28.5&13\end{bmatrix}. \end{align*}$$
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