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: 24

Answer

$\left[\begin{array}{cc} {50}&{-3}\\ {18}&{21}\end{array}\right]$

Work Step by Step

$ AC=\left[\begin{array}{cc}{28}&{-9}\\{4}&{23}\end{array}\right]\quad$(see sol. exercise $15$) $ BC=\left[\begin{array}{cc}{22}&{6}\\{14}&{-2}\end{array}\right]\quad$(see sol. exercise $16$) Both are 2 by 2 matrices, so their sum is defined. $AC+BC=\left[\begin{array}{cc} {28+22}&{-9+6}\\ {4+14}&{23+(-2)}\end{array}\right]=\left[\begin{array}{cc} {50}&{-3}\\ {18}&{21}\end{array}\right]$
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