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Evaluate the determinant for each one of the following matrices:

$$\left(\begin{array}{ccc}{2} & {-1} & {3} \\ {1} & {0} & {4} \\ {2} & {-3} & {1}\end{array}\right)$$

$$\left(\begin{array}{ccc}{2} & {-1} & {3} \\ {1} & {0} & {4} \\ {2} & {-3} & {1}\end{array}\right) \begin{array}{cc}{2} & {-1} \\ {1} & {0} \\ {2} & {-3} & \end{array} $$

det $$(A)=[0+(-8)+(-9)]-[0+(-24)+(-1)]$$

$$=-17-(-25)=8$$

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