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 768: 16

Answer

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

Work Step by Step

Adding/subtracting the corresponding elements in the given matrix expression, $ \begin{bmatrix} 6 & -3 \\ -7 & 2 \end{bmatrix} + \begin{bmatrix} -6 & 3 \\ 7 & -2 \end{bmatrix} ,$ results to \begin{align*} & \begin{bmatrix} 6+(-6) & -3+3 \\ -7+7 & 2+(-2) \end{bmatrix} \\\\&= \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix} .\end{align*} Hence, the given expression simplifies to $ \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix} $.
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