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: 42

Answer

$-407$

Work Step by Step

$\left|\begin{array}{ll} 5 & 0\\ 0 & -3 \end{array}\right|=5(-3)-0(0)=-15$ $\left|\begin{array}{ll} -1 & 0\\ 0 & -1 \end{array}\right|=1-0=1$ $\left|\begin{array}{ll} 7 & -5\\ 4 & 6 \end{array}\right|=42+20=62$ $\left|\begin{array}{ll} 4 & 1\\ -3 & 5 \end{array}\right|=20+3=23$ $\left|\begin{array}{ll} -15 & 1\\ 62 & 23 \end{array}\right|=-345-62=-407$
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