Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - Mid-Chapter Quiz - Page 791: 2

Answer

$B-A=\begin{bmatrix} 1&5\\ -4&-7 \end{bmatrix}$

Work Step by Step

Subtracting each corresponding elements of $B= \begin{bmatrix} 4&6\\ 1&0\end{bmatrix} $ and $ A= \begin{bmatrix} 3&1\\ 5&7\end{bmatrix} $ then \begin{align*}\require{cancel} B-A&= \begin{bmatrix} 4&6\\ 1&0\end{bmatrix} - \begin{bmatrix} 3&1\\ 5&7\end{bmatrix} \\\\&= \begin{bmatrix} 4-3&6-1\\ 1-5&0-7 \end{bmatrix} \\\\&= \begin{bmatrix} 1&5\\ -4&-7 \end{bmatrix} .\end{align*} Hence, $ B-A=\begin{bmatrix} 1&5\\ -4&-7 .\end{bmatrix} .$
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