Answer
$4$
Work Step by Step
$
\begin{align}\det A &=
4\begin{vmatrix}5&2\\7&3\end{vmatrix}-3\begin{vmatrix}6&2\\9&3\end{vmatrix}+0\begin{vmatrix}6&5\\9&7\end{vmatrix}\\
&=4(15-14)-3(18-18)+0(42-45)\\
&=4-0+0=4
\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 170: 7
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