Is there an example such that A and B, three by three, that have the same eigenvectors, but different eigenvalues?
What would be the eigenvectors and eigenvalues if it exists because I'm stuck on this practice problem.
I know that if matrices A and B can be written such that AB=BA, they share the same eigenvectors, but what about their eigenvalues? precisely if they're squared matrices (3×3 case)
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