College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.4 - Matrix Algebra - 8.4 Assess Your Understanding - Page 598: 10

Answer

$\left[\begin{array}{rrr} -4 & 2 & -5\\ 3 & -1 & 8 \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{lll} 0 & 3 & -5\\ 1 & 2 & 6 \end{array}\right],\quad B=\left[\begin{array}{lll} 4 & 1 & 0\\ -2 & 3 & -2 \end{array}\right],\quad C=\left[\begin{array}{ll} 4 & 1\\ 6 & 2\\ -2 & 3 \end{array}\right]$ --- A and B are both 2 by 3 matrices, so $A-B$ is defined. If C=A-B, $\quad c_{ij}=a_{ij}-b_{ij}$ $A-B=\left[\begin{array}{lll} 0-4 & 3-1 & -5-0\\ 1-(-2) & 2-3 & 6-(-2) \end{array}\right]$ $=\left[\begin{array}{rrr} -4 & 2 & -5\\ 3 & -1 & 8 \end{array}\right]$
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