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