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: 10

Answer

$\begin{bmatrix} 1.5 & -1.9 \\ 0 & 4.6 \end{bmatrix} - \begin{bmatrix} 8.3 & -3.2 \\ 2.1 & 5.6 \end{bmatrix} = \begin{bmatrix} -6.8 & 1.3 \\ -2.1 & -1 \end{bmatrix}$

Work Step by Step

Adding/subtracting the corresponding elements, the given matrix expression $ \begin{bmatrix} 1.5 & -1.9 \\ 0 & 4.6 \end{bmatrix} - \begin{bmatrix} 8.3 & -3.2 \\ 2.1 & 5.6 \end{bmatrix} ,$ simplifies to \begin{align*} & \begin{bmatrix} 1.5-8.3 & -1.9-(-3.2) \\ 0-2.1 & 4.6-5.6 \end{bmatrix} \\\\&= \begin{bmatrix} -6.8 & 1.3 \\ -2.1 & -1 \end{bmatrix} .\end{align*} Hence, $ \begin{bmatrix} 1.5 & -1.9 \\ 0 & 4.6 \end{bmatrix} - \begin{bmatrix} 8.3 & -3.2 \\ 2.1 & 5.6 \end{bmatrix} = \begin{bmatrix} -6.8 & 1.3 \\ -2.1 & -1 \end{bmatrix} $.
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