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Algebra

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Higher Order Matrix: Getting the Determinant $3\times3$

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Evaluate the determinant of the following $3\times3$ matrix:

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

A

$0$

B

$1$

C

$3$

D

$5$