Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 4 - Section 4.2 - Matrix Multiplication - Exercises - Page 253: 34

Answer

$\left[\begin{array}{rrrr} 0 & 1 & 0 & -1\\ 0 & 0 & 0 & 0\\ 20 & 2 & 2 & -2\\ -10 & -4 & -1 & 4 \end{array}\right]$

Work Step by Step

$B-C=\left[\begin{array}{ll} -1 & 0\\ 0 & 0\\ -2 & 2\\ 4 & -1 \end{array}\right]$ $A=\left[\begin{array}{rrrr} {0}&{-1}&{0}&{1}\\ {10}&{0}&{1}&{0}\end{array}\right]$ $(B-C)A$ is defined and is a 4$\times$4 matrix. $=\left[\begin{array}{llll} 0+0 & 1+0 & 0+0 & -1+0\\ 0 & 0 & 0 & 0\\ 0+20 & 2+0 & 0+2 & -2+0\\ 0-10 & -4+0 & 0-1 & 4+0 \end{array}\right]$ $=\left[\begin{array}{llll} 0 & 1 & 0 & -1\\ 0 & 0 & 0 & 0\\ 20 & 2 & 2 & -2\\ -10 & -4 & -1 & 4 \end{array}\right]$
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