Exercise7

Suppose that we apply the power method to the matrix \(A\) with an initial vector \(\xvec_0\) and find the eigenvalue \(\lambda=3\) and eigenvector \(\vvec\text{.}\) Suppose that we then apply the power method again with a different initial vector and find the same eigenvalue \(\lambda=3\) but a different eigenvector \(\wvec\text{.}\) What can we conclude about the matrix \(A\) in this case?

in-context