# Determinant of a 3x3 matrix

Find the determinant of a given 3x3 matrix.
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### Problem

$\text A = \left[\begin{array}{rrr}-1 & -2 & -2 \\ -1 & 2 & 0 \\ 2 & -1 & 4\end{array}\right]$
What is the determinant of A?