Is this normalised eigenvector undefined?

Smythe

I've started off with a 2x2 matrix of

(0) (i)
(-i) (0)

and I found the eigenvalues to be +1, -1

Then I found the resulting 2x1 eigenvectors to be

(-i)
(1)

and

(1)
(-i)

I now need the normalised eigenvectors.

I'm getting

{1/[sqrt(0)]} x eigenvector1
{1/[sqrt(0)]} x eigenvector2

Does this mean the normalised eigenvectors in this case are undefined?

Smythe

I'm ok now, I've been able to get an answer.

Michael Collins

Glad you got it sorted. How did you go about it?

Smythe

Instead I found it to be

{1/[sqrt(2)]} x eigenvector1
{1/[sqrt(2)]} x eigenvector2

2's instead of 0's

sqrt[(Magnitude of 1)^2 + (Magnitude of i)^2]
=
sqrt[(1)^2 + (1)^2]
=
sqrt(2)