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: 54

Answer

$\begin{bmatrix} -33 & -12 \\ -6 & 27 \end{bmatrix}$

Work Step by Step

Adding/Subtracting each corresponding elements of the matrices, the given matrix expression, $ \begin{bmatrix} -1 & 2 \\ 0 & 17 \end{bmatrix} - \begin{bmatrix} 32 & 14 \\ 6 & -10 \end{bmatrix} ,$ results to \begin{align*} & \begin{bmatrix} -1-32 & 2-14 \\ 0-6 & 17-(-10) \end{bmatrix} \\\\&= \begin{bmatrix} -1-32 & 2-14 \\ 0-6 & 17+10 \end{bmatrix} \\\\&= \begin{bmatrix} -33 & -12 \\ -6 & 27 \end{bmatrix} .\end{align*} Hence, the given matrix operation results to $ \begin{bmatrix} -33 & -12 \\ -6 & 27 \end{bmatrix} .$
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