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If A is Skew-hermitian then iA is a ______ matrix.

A) Hermitian
B) Skew-hermitian
C) Symmetric
D) Skew-Symmetric

Correct Answer:

A) Hermitian

Description for Correct answer:
A is Skew-hermitian

\(\Rightarrow A^{ \theta }=-A\)

now \((iA)^{ \theta }=\overline{i}A^{ \theta }=(-i)(-A)\) (since \(A^{ \theta }=-A\))

\(=iA\)

\(\Rightarrow \) iA is hermitian.

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