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: 8

Answer

$4B=\begin{bmatrix} -12 & 4 \\ 8 & -16 \\ -4 & 20 \end{bmatrix}$

Work Step by Step

Multiplying each element of $ B= \begin{bmatrix} -3 & 1 \\ 2 & -4 \\ -1 & 5 \end{bmatrix} $ by $4,$ then \begin{align*} 4B&= \begin{bmatrix} -3(4) & 1(4) \\ 2(4) & -4(4) \\ -1(4) & 5(4) \end{bmatrix} \\\\&= \begin{bmatrix} -12 & 4 \\ 8 & -16 \\ -4 & 20 \end{bmatrix} .\end{align*} Hence, $ 4B=\begin{bmatrix} -12 & 4 \\ 8 & -16 \\ -4 & 20 \end{bmatrix} .$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.