$$[\begin{matrix}4&2&-3\\ 1&3&-6\\ -5&0&-7\end{matrix}].$$
$-55$
$$det(\left(\begin{matrix}4&2&-3\\1&3&-6\\-5&0&-7\end{matrix}\right))$$
$$\left(\begin{matrix}4&2&-3&4&2\\1&3&-6&1&3\\-5&0&-7&-5&0\end{matrix}\right)$$
$$4\times 3\left(-7\right)+2\left(-6\right)\left(-5\right)=-24$$
$$-5\times 3\left(-3\right)-7\times 2=31$$
$$-24-31$$
$$-55$$
$$4det(\left(\begin{matrix}3&-6\\0&-7\end{matrix}\right))-2det(\left(\begin{matrix}1&-6\\-5&-7\end{matrix}\right))-3det(\left(\begin{matrix}1&3\\-5&0\end{matrix}\right))$$
$$4\times 3\left(-7\right)-2\left(-7-\left(-5\left(-6\right)\right)\right)-3\left(-\left(-5\times 3\right)\right)$$
$$4\left(-21\right)-2\left(-37\right)-3\times 15$$
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$\left(\begin{matrix}4&2&-3\\1&3&-6\\-5&0&-7\end{matrix}\right)$
