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 - Guided Practice for Examples 3 and 4 - Page 190: 5

Answer

$\begin{bmatrix}-30&14\\38&-36\\-20&30\end{bmatrix}$

Work Step by Step

We are given the matrices: $$A=\begin{bmatrix}125&100\\278&251\\225&270\end{bmatrix},\text{ }B=\begin{bmatrix}95&114\\316&215\\205&300\end{bmatrix}$$ Calculate $B-A$: $$\begin{align*} B-A&=\begin{bmatrix}95&114\\316&215\\205&300\end{bmatrix}-\begin{bmatrix}125&100\\278&251\\225&270\end{bmatrix}\\ &=\begin{bmatrix}95-125&114-100\\316-278&215-251\\205-225&300-270\end{bmatrix}\\ &=\begin{bmatrix}-30&14\\38&-36\\-20&30\end{bmatrix}. \end{align*}$$ The difference $B-A$ represents the difference between the sales of this month and the sales of the last month.
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