Question: A complex matrix S is called skew-hermitian if SH = -S. (a) If S is skew-hermitian, show that S2 and iS are hermitian. (b) Show

A complex matrix S is called skew-hermitian if SH = -S.
(a) If S is skew-hermitian, show that S2 and iS are hermitian.
(b) Show that every n x n complex matrix Z can be written uniquely as Z = V + S, where V is hermitian and S is skew-hermitian.

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