Question

A matrix with diagonal elements as complex numbers with imaginary part not 0 can never be Hermitian matrix

• A. True
• B. False

Answer 1

The correct option is A

True

Lets take general element from matrix A aij

Assume

aij = p + iq

If aij is a diagonal element then i=j. So if we take the conjugate of this element it will be p-iq which is not equal to p+iq. Therefore matrices with diagonal elements as complex number with imaginary part not 0 can’t be hermitian matrices.