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: 26

Answer

$\left[\begin{array}{ccc} 2-4x & -6 & -4w\\ -4z & 4-4r & -18 \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{lll} 1 & -1 & 0\\ 0 & 2 & -1 \end{array}\right],\quad B=\left[\begin{array}{lll} 3 & 0 & -1\\ 5 & -1 & 1 \end{array}\right],\quad C=\left[\begin{array}{lll} x & 1 & w\\ z & r & 4 \end{array}\right]$ $(2A-4C)_{ij}=2\cdot a_{ij}-4\cdot c_{ij}$ ----- $2A-4C=\left[\begin{array}{lll} 2(1)-4(x ) & 2(-1)-4(1 ) & 2(0)-4(w )\\ 2(0)-4(z ) & 2(2)-4( r) & 2(-1)-4(4 ) \end{array}\right]$ $=\left[\begin{array}{lll} 2-4x & -6 & -4w\\ -4z & 4-4r & -18 \end{array}\right]$
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