Let a, b be an nx n invertible matrix, which of the following statements is/are always true? (i) (a + b)a b-1 (ii) (-i)t(a-1)3 (iii) det(aa) kdet(a) for any scalar k (iv) (ka)-1-k-1a-1 for any scalar k (v) a+ at is diagonalizable 0 a. (i) and (iii) only b. (ii) and (iv) onljy c. (iii), (iv) and (v) only v) and (v) only