(1) Compute the determinant of the following matrices: \left(\begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array}\right), \quad\left(\begin{array}{ccc} 2 & -2 & 3 \\ 3 & 1 & 2 \\ 1 & 3 & -1 \end{array}\right) \cdot\left(\begin{array}{cccc} 4 & 0 & 0 & 5 \\ 1 & 7 & 2 & -5 \\ 3 & 0 & 0 & 0 \\ 8 & 3 & 1 & 7 \end{array}\right), \quad \text { and } \quad \cdot\left(\begin{array}{ccccc} n & n-1 & \cdots & 2 & 1 \\ 0-1 & n-2 & \cdots & 1 & 0 \\ \vdots & \vdots & \cdot & \vdots & \vdots \\ 2 & 1 & & 0 & 0 \\ 1 & 0 & \cdots & 0 & 0 \end{array}\right)

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