Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.4 Matrix Algebra - 11.4 Assess Your Understanding - Page 758: 11

Answer

$\left[\begin{matrix} 0&12 &-20\\ 4& 8 &24 \end{matrix}\right]$

Work Step by Step

The given matricx is: $A=\left[\begin{matrix} 0& 3 &-5\\ 1& 2 &6 \end{matrix}\right]$ Multiply both sides by $4$. $4A=4\left[\begin{matrix} 0& 3 &-5\\ 1& 2 &6 \end{matrix}\right]$ Multiply each element by $4$. $4A=\left[\begin{matrix} 4\cdot 0&4\cdot 3 &4\cdot (-5)\\ 4\cdot 1& 4\cdot 2 &4\cdot 6 \end{matrix}\right]$ Simplify. $4A=\left[\begin{matrix} 0&12 &-20\\ 4& 8 &24 \end{matrix}\right]$.
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