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 770: 44

Answer

$\begin{bmatrix} 9 & 15 \\ 6 & 24 \end{bmatrix}$

Work Step by Step

Adding the corresponding elements of the matrices, the given matrix expression, $ \begin{bmatrix} 3 & 5 \\ 2 & 8 \end{bmatrix} + \begin{bmatrix} 3 & 5 \\ 2 & 8 \end{bmatrix} + \begin{bmatrix} 3 & 5 \\ 2 & 8 \end{bmatrix} ,$ simplifies to \begin{align*} & \begin{bmatrix} 3+3+3 & 5+5+5 \\ 2+2+2 & 8+8+8 \end{bmatrix} \\\\&= \begin{bmatrix} 9 & 15 \\ 6 & 24 \end{bmatrix} .\end{align*}
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