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: 14

Answer

$\left[\begin{array}{rr} -1 & 0\\ 0 & -1\\ 0 & 3 \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{ll} 0 & -1\\ \mathrm{l} & 0\\ -1 & 2 \end{array}\right], \quad B=\left[\begin{array}{ll} 0.25 & -1\\ 0 & 0.5\\ -1 & 3 \end{array}\right],\quad C=\left[\begin{array}{ll} 1 & -1\\ 1 & 1\\ -1 & -1 \end{array}\right]$. $(A-C)_{ij}=A_{ij}+C_{ij}$ $A-C=\left[\begin{array}{ll} 0-1 & -1-(-1)\\ 1-1 & 0-1\\ -1-(-1) & 2-(-1) \end{array}\right]=\left[\begin{array}{rr} -1 & 0\\ 0 & -1\\ 0 & 3 \end{array}\right]$
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