Find the eigenvectors of the matrix
I've already found the eigenvalues which come out to be 1, 2+i and 2-i.
To find the eigenvectors I have to find v such that .
I already found the eigenvector for . I'm having trouble with it for the complex cases.
Here's my working for :
The only vector that satisfies these conditions is the zero matrix which cannot be an eigenvector by definition!