Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 928: 6

Answer

$8$

Work Step by Step

If A is an $\mathrm{m}\times\fbox{$\mathrm{p}$}$ matrix, and B is a $\fbox{$\mathrm{p}$}\times \mathrm{n}$ matrix, the product AB is defined, and is an $\mathrm{m}\times \mathrm{n}$ matrix. The element $c_{ij}$ of the product matrix $C=AB$ is found as follows. $c_{ij}=a_{i1}b_{1j}+a_{i2}b_{2j}+\cdots+a_{in}b_{nj}$ $x=c_{11}=2\times 3+1\times 2=8$
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