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: 18

Answer

$\left[\begin{array}{rr} 0.5 & -2.5\\ 2.5 & 0.5\\ -2.5 & 3.5 \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{ll} 0 & -1\\ 1 & 0\\ -1 & 2 \end{array}\right], \quad B=\left[\begin{array}{ll} 0.25 & -1\\ 0 & 0.5\\ -1 & 3 \end{array}\right],\quad C=\left[\begin{array}{ll} 1 & -1\\ 1 & 1\\ -1 & -1 \end{array}\right]$. $(2A+0.5C)_{ij}=2a_{ij}+0.5c_{ij}$ --- $2A-C$=$\left[\begin{array}{ll} 2(0)+0.5(1) & 2(-1)+0.5(-1)\\ 2(1)+0.5(1) & 2(0)+0.5(1)\\ 2(-1)+0.5(-1) & 2(2)+0.5(-1) \end{array}\right]=\left[\begin{array}{ll} 0.5 & -2.5\\ 2.5 & 0.5\\ -2.5 & 3.5 \end{array}\right]$
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