I am trying to compute complex eigenvectors for a matrix that has two distinct complex eigenvalues. Is there a way to get the exact coefficients?
For example: A=matrix(QQ,2,2,[3, -13, 5,1]) A.eigenvectors_right()
Gives me: [(2 + 8I, [ (1, 0.07692307692307692? - 0.6153846153846154?I) ], 1), (2 - 8I, [ (1, 0.07692307692307692? + 0.6153846153846154?I) ], 1)]
Is there any way to make it give me integer or rational Re and Im for the eigenvectors?
Thank you!
