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: 23

Answer

$C-D=\begin{bmatrix} -4 & 1 \\ -3 & -1 \end{bmatrix}$

Work Step by Step

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