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: 32

Answer

$\left[\begin{array}{rr} {0}&{0}\\ {11}&{-9}\end{array}\right]$

Work Step by Step

AC is defined and is a 2x2 matrix. $AC=\left[\begin{array}{ccc} {0+(-1) \cdot 1+0 +1 \cdot 1}&{0+(-1)\cdot 1+0+1\cdot 1)}\\ {10\cdot 1+0+1\cdot 1+0}&{10(-1)+0+1\cdot 1+0}\end{array}\right]$ $=\left[\begin{array}{cc} {0}&{0}\\ {11}&{-9}\end{array}\right]$
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