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: 33

Answer

$\left[\begin{array}{rr} {4}&{-1}\\ {-12}&{2}\end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{rrrr} {0}&{-1}&{0}&{1}\\ {10}&{0}&{1}&{0}\end{array}\right]$ $B-C=\left[\begin{array}{ll} -1 & 0\\ 0 & 0\\ -2 & 2\\ 4 & -1 \end{array}\right]$ A(B-C) is defined, and is a 2x2 matrix. $A(B-C)==\left[\begin{array}{cccc} {0+0+0+1 \cdot 4}&{0+0+0+1\cdot(-1)}\\ {10(-1)+0+1\cdot(-2)+0}&{0+0+1\cdot 2+0}\end{array}\right]$ $=\left[\begin{array}{cc} {4}&{-1}\\ {-12}&{2}\end{array}\right]$
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