Answer
$108$
Work Step by Step
Let $A=\begin{vmatrix} 1 & 4 & 0\\ -1 & 2 & 6 \\ 4 & 1 & 3 \end{vmatrix}$, use the top row to expand, we have:
$|A|=1[2(3)-6(1)]-4[-1(3)-6(4)]+0=1[0]-4[-27]=108$
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