Algebra 2 Common Core

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

Chapter 12 - Matrices - Working with Matrices - Page 771: 2

Answer

$\begin{bmatrix} 4 & -1 & -9 \\ 9 & -6 & 0 \end{bmatrix}$

Work Step by Step

Subtracting each corresponding elements of the matrices, the given matrix expression, $ \begin{bmatrix} 3 & 5 & -7 \\ 0 & -2 & 0 \end{bmatrix} - \begin{bmatrix} -1 & 6 & 2 \\ -9 & 4 & 0 \end{bmatrix} ,$ results to \begin{align*} & \begin{bmatrix} 3-(-1) & 5-6 & -7-2 \\ 0-(-9) & -2-4 & 0-0 \end{bmatrix} \\\\&= \begin{bmatrix} 3+1 & 5-6 & -7-2 \\ 0+9 & -2-4 & 0-0 \end{bmatrix} \\\\&= \begin{bmatrix} 4 & -1 & -9 \\ 9 & -6 & 0 \end{bmatrix} .\end{align*} Hence, the given matrix operation results to $ \begin{bmatrix} 4 & -1 & -9 \\ 9 & -6 & 0 \end{bmatrix} .$
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