When you multiply a Hermitian matrix by a real number c, is cA still Hermitian? If c =

Chapter 5, Problem 5.5.29

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When you multiply a Hermitian matrix by a real number c, is cA still Hermitian? If c = i, show that iA is skew-Hermitian. The 3 by 3 Hermitian matrices are a subspace, provided that the scalars are real numbers.

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