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 777: 7

Answer

$3A=\begin{bmatrix} 9 & 12 \\ 18 & -6 \\ 3 & 0 \end{bmatrix}$

Work Step by Step

Multiplying each element of $ A= \begin{bmatrix} 3 & 4 \\ 6 & -2 \\ 1 & 0 \end{bmatrix} $ by $3,$ then \begin{align*} 3A&= \begin{bmatrix} 3(3) & 4(3) \\ 6(3) & -2(3) \\ 1(3) & 0(3) \end{bmatrix} \\\\&= \begin{bmatrix} 9 & 12 \\ 18 & -6 \\ 3 & 0 \end{bmatrix} .\end{align*} Hence, $ 3A=\begin{bmatrix} 9 & 12 \\ 18 & -6 \\ 3 & 0 \end{bmatrix} .$
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