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: 37

Answer

2010:$\quad [3.3\quad 21 \quad 8.7]$ 2011:$\quad [4.1\quad 19.4 \quad 16.2]$

Work Step by Step

Let $A=[2.5\quad 22.7 \quad 4.4]$ $B=[0.8\quad -1.7 \quad 4.3]$ $C=[0.8\quad -1.6 \quad 7.5]$ representing A: millions of units sold in Q1, 2009. The entries correspond to products as given in the table. B: change in 2010 C: change in 2011 The total sales in $2010$ = $A+B=$ $=[2.5+0.8\quad 22.7-1.7 \quad 4.4+4.3]$ $=[3.3\quad 21 \quad 8.7]$ The total sales in $2011$ = $A+B+C=$ $=[3.3+0.8\quad 21-1.6 \quad 8.7+7.5]$ $=[4.1\quad 19.4 \quad 16.2]$
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