A complex matrix S is called skew-hermitian if SH = -S. (a) If S is skew-hermitian, show

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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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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:48 AM

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A complex matrix S is called skew-hermitian if SH = -S. (a) If S is skew-hermitian, show

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a Let B be skew hermitian that is B H B Then Theorem 3 gives ...View the full answer

Linear Algebra With Applications

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