Hi!

A complex 2x2 matrix is given as

A =

a b

c d

where a, b, c and d are complex numbers.

Find the eigenvectors of U when a = 0, b = i, c = -i and d = 0, and normalize

them to unity.

I think I've found the eigenvalues to be 1 and -1. (If that is right.)

But I have problem finding the eigenvectors. I know how you should do it, and know the equation and so on, but I don't get any results. I need someone to show me how you get the answer.

Looking forward for help!

Best regards!