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: 21

Answer

$\left[\begin{array}{rrr} 4 & -1 & -1\\ 5 & 1 & 2 \end{array}\right]$

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 sum = sum of the ijth entries ------------ $A+B=\left[\begin{array}{lll} 1+3 & -1+0 & 0+(-1)\\ 0+5 & 2+(-1) & 1+1 \end{array}\right]=\left[\begin{array}{lll} 4 & -1 & -1\\ 5 & 1 & 2 \end{array}\right]$
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