Algebra 2 Common Core

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

Chapter 12 - Matrices - 12-2 Matrix Multiplication - Practice and Problem-Solving Exercises - Page 779: 55

Answer

$\begin{bmatrix} 9 & -6 & 12 \\ 2 & 20 & 12 \end{bmatrix}$

Work Step by Step

Adding/Subtracting each corresponding elements of the matrices, the given matrix expression, $ \begin{bmatrix} 0 & -1 & 5 \\ 6 & 10 & 12 \end{bmatrix} + \begin{bmatrix} 9 & -5 & 7 \\ -4 & 10 & 0 \end{bmatrix} ,$ results to \begin{align*} & \begin{bmatrix} 0+9 & -1+(-5) & 5+7 \\ 6+(-4) & 10+10 & 12+0 \end{bmatrix} \\\\&= \begin{bmatrix} 0+9 & -1-5 & 5+7 \\ 6-4 & 10+10 & 12+0 \end{bmatrix} \\\\&= \begin{bmatrix} 9 & -6 & 12 \\ 2 & 20 & 12 \end{bmatrix} .\end{align*} Hence, the given matrix operation results to $ \begin{bmatrix} 9 & -6 & 12 \\ 2 & 20 & 12 \end{bmatrix} .$
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