College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 6, Matrices and Determinants - Section 6.2 - The Algebra of Matrices - 6.2 Exercises - Page 511: 4

Answer

$\left[\begin{array}{lll} 4 & \fbox{$9$} & -7\\ 7 & -7 & \fbox{$0$}\\ \fbox{$4$} & -5 & -5 \end{array}\right]$

Work Step by Step

$AB=C$ $c_{ij}=$the inner product of (row $i$ of A) times (column $j$ of B) ---- The missing entry in $c_{12}$ row 1, column 2, is the inner product of (row 1 of A) times (column 2 of B) $c_{12}=3(3)+1(-2)+2(1)=9$ $c_{23}=-1(-2)+2(-1)+0(0)=0$ $c_{31}=1(-1)+3(3)-2(2)=4$
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