Question

If A be a hermitian matrix show that iA is a skew hermitian

Answer 1

Answer:

Let A is skew-Hermitian matrix, then according to definition skew-Hermitian matrix is A square real matrix A if

A* = -A.

Then

(iA)* = iA* = -i(-A) - iA

Since, (iA)* = iA, then iA is Hermitian.

Hence iA is a skew hermitian