2. (i) Let A be an invertible matrix. Assume that A = A-1. What are the possible values for det(A)? (ii) Let B be a skew-symmetric matrix over R, i.e. AT = -B and of order 2n–1. Show that det(B) = 0. (iii) Show that if a square matrix C is hermitian, i.e. C* = C then det(C) is a real number.

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