5. (a) Let 10-1 1 -1 -1 -1 1 P = 0 1 1 -1 2 -2 2 2 Evaluate the determinant of P. [4] (b) Suppose that A and B are n x n, invertible matrices, n ≥ 2. Let |A| = a and |B|= b. Find the values of the following determinants in terms of a, b and n: (i) |45|; (ii) |BT |; (iii) | AB-2|; (iv) |3BA|.

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