Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.4 Matrix Algebra - 10.4 Assess Your Understanding - Page 777: 11

Answer

$\begin{bmatrix} 0 & 12 & -20\\ 4 & 8 & 24 \end{bmatrix}$

Work Step by Step

We are given that $A=\begin{bmatrix} 0 & 3 & -5\\ 1 & 2 & 6 \end{bmatrix}$ Now, $4 A= 4 \begin{bmatrix} 0 & 3 & -5\\ 1 & 2 & 6 \end{bmatrix} \\ =\begin{bmatrix} (4) (0) & (4)(3) & (4)(-5)\\ (4)(1) & (4)(2) & (4)(6) \end{bmatrix} \\=\begin{bmatrix} 0 & 12 & -20\\ 4 & 8 & 24 \end{bmatrix}$
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