Answer
The determinant of the matrix is 33.
Work Step by Step
$\det \begin{bmatrix}
2 & 1 & 4\\
3 & -5 & 0\\
1 & 0 & -1
\end{bmatrix}=2.(-5)(-1)+1.1.0+3.4.0-1.(-5).4-0.0.2-3.1(-1)=33$
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