Answer
$45$
Work Step by Step
$
\begin{align}\det A &=
5\begin{vmatrix}3&-3\\-4&7\end{vmatrix}-(-2)\begin{vmatrix}0&-3\\2&7\end{vmatrix}+2\begin{vmatrix}0&3\\2&-4\end{vmatrix}\\
&=5(21-12)+2(0+6)+2(0-6)\\
&=45+12-12=45
\end{align}
$
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 3 - Determinants - 3.1 Exercises - Page 169: 6
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