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 - Lesson Check - Page 768: 2

Answer

$\begin{bmatrix} 5 & -3 & 7 \\ -1 & 0 & 8 \end{bmatrix}$ - $ \begin{bmatrix} 4 & 6 & -1 \\ 2 & 1 & 0 \end{bmatrix} = \begin{bmatrix} 1 & -9 & 8 \\ -3 & -1 & 8 \end{bmatrix} $

Work Step by Step

Adding each corresponding elements, the given matrix expression $ \begin{bmatrix} 5 & -3 & 7 \\ -1 & 0 & 8 \end{bmatrix}$ - $ \begin{bmatrix} 4 & 6 & -1 \\ 2 & 1 & 0 \end{bmatrix} ,$ simplifies to \begin{align*} & \begin{bmatrix} 5-4 & -3-6 & 7-(-1) \\ -1-2& 0-1 & 8 -0 \end{bmatrix} \\\\&= \begin{bmatrix} 1 & -9 & 8 \\ -3 & -1 & 8 \end{bmatrix} .\end{align*} Hence, $ \begin{bmatrix} 5 & -3 & 7 \\ -1 & 0 & 8 \end{bmatrix}$ - $ \begin{bmatrix} 4 & 6 & -1 \\ 2 & 1 & 0 \end{bmatrix} = \begin{bmatrix} 1 & -9 & 8 \\ -3 & -1 & 8 \end{bmatrix} $.
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