Eigenvalue and eigenvectors of COMPLEX matrix

[hoffman1789]

dear all

how do you find the eigenvalues and eigenvectors of a complex matrix?


0 ; -i ; 0 ; 0
i ; 0 ; -i*sqrt(2) ; 0
0 ; i*sqrt(2) ; 0 ; -i*sqrt(5)
0 ; 0 ; i*sqrt(5) ; 0

any tutorial? thanks!

 

[elibj123]

The same way you find eigenvalues of a real matrix, only now you get a complex polynomial and your eigenvalues and eigenvectors are complex. I think there's nothing more to say about it.