Algebra 2 Common Core

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

Chapter 12 - Matrices - 12-1 Adding and Subtracting Matrices - Practice and Problem-Solving Exercises - Page 769: 22

Answer

$B-A=\begin{bmatrix} -6 & -3 \\ -4 & -2 \\ -2 & 5 \end{bmatrix}$

Work Step by Step

Adding/Subtracting each corresponding element, with $ A=\begin{bmatrix} 3 & 4 \\ 6 & -2 \\ 1 & 0 \end{bmatrix} $ and $ B=\begin{bmatrix} -3 & 1 \\ 2 & -4 \\ -1 & 5 \end{bmatrix} ,$ then \begin{align*} B-A&= \begin{bmatrix} -3 & 1 \\ 2 & -4 \\ -1 & 5 \end{bmatrix} - \begin{bmatrix} 3 & 4 \\ 6 & -2 \\ 1 & 0 \end{bmatrix} \\\\&= \begin{bmatrix} -3-3 & 1-4 \\ 2-6 & -4-(-2) \\ -1-1 & 5-0 \end{bmatrix} \\\\&= \begin{bmatrix} -6 & -3 \\ -4 & -2 \\ -2 & 5 \end{bmatrix} .\end{align*} Hence, $ B-A=\begin{bmatrix} -6 & -3 \\ -4 & -2 \\ -2 & 5 \end{bmatrix} .$
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