Question

(a) (b) If A is a hermitian matrix, show that i A is skew-hermitian
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Answer 1

Answer:

prefer to it child

Step-by-step explanation:

A square matrix, A , is skew-Hermitian if it is equal to the negation of its complex conjugate transpose, A = -A

A is Skew-hermitian

⇒Aθ=−A

now (iA)θ=i¯Aθ=(−i)(−A) (since Aθ=−A)

=iA

⇒ iA is hermitian....