College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.5 - Page 653: 41

Answer

$-407$

Work Step by Step

$\left|\begin{array}{ll} 3 & 1\\ -2 & 3 \end{array}\right|=3(3)-1(-2)=11$ $\left|\begin{array}{ll} 7 & 0\\ 1 & 5 \end{array}\right|=35-0=35$ $\left|\begin{array}{ll} 3 & 0\\ 0 & 7 \end{array}\right|=21-0=21$ $\left|\begin{array}{ll} 9 & -6\\ 3 & 5 \end{array}\right|=45+18=63$ $\left|\begin{array}{ll} 11 & 35\\ 21 & 63 \end{array}\right|=693-735=-407$
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