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Determinant of a $3\times3$

ALGEBR-FEYQLL

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

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

A

-17

B

17

C

-1

D

-21