Finite Math and Applied Calculus (6th Edition)

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

Chapter 4 - Section 4.1 - Matrix Addition and Scalar Multiplication - Exercises - Page 239: 22

Answer

$\left[\begin{array}{ccc} 3-x & -1 & -1-w\\ 5-z & -1-r & -3 \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{lll} 1 & -1 & 0\\ 0 & 2 & 1 \end{array}\right],\quad B=\left[\begin{array}{lll} 3 & 0 & -1\\ 5 & -1 & 1 \end{array}\right],\quad C=\left[\begin{array}{lll} x & 1 & w\\ z & r & 4 \end{array}\right]$ $(A-B)_{ij}=A_{ij}-B_{ij}$ ijth entry of the difference $=$ difference of the ijth entries ------------ $B-C=\left[\begin{array}{lll} 3-x & 0-1 & -1-w\\ 5-z & -1-r & 1-4 \end{array}\right]=\left[\begin{array}{lll} 3-x & -1 & -1-w\\ 5-z & -1-r & -3 \end{array}\right]$
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