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Answer the following questions. Show your working out. a) Let the matrix A3x5 . If the rank of A is 2, Find the nullity of A b) If the Eigenvalues of a matrix A3x3 are 1 = 3, 2 and – 1, Find |A| c) If the Eigenvalues of a matrix A2x2 are 1 = -2 and 1 = 1, Find a diagonal Matrix D similar to A d) If P-1AP = D. Find A in terms of P and D. e) Let A,B,C and D be 3 x 3 non – singular matrices with |A| = 2, |B| = -5 and |C| = 4, Find |(AB)"B-10-21