### eigenvectors of complex matrix

Hi!

I would like to find the complex eigenvectors of this matrix:

A=matrix(CDF,[[2-i,0,i],[0,1+i,0],[i,0,2-i]]).

I have used the command A.eigenvectors_right() and I get the following eigenvectors (rounded off):
(-0.70711+9.4136e-17i , 0 , 0.70711), (0,1,0), (0.70711 , 0 , 0.70711).

In my ~~chechlist ~~checklist I should get the vectors: t1*(-1,0,1), t2*(0,1,0), t3*(1,0,1), where the t-values are complex factors.

How do I compute this kind of result?

Sincerly Simon