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Algebra

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Higher Order Matrix: Determinant of a $3\times3$

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Evaluate the determinant of the $3 \times 3$ matrix as shown below:

$$\left| \begin{array}{ccc} 2 & -2 & 0\\\ -3 & 1 & 2\\\ 1 & -3 & -1 \end{array} \right|$$

A

$1$

B

$12$

C

$4$

D

$5$