Exercise 7

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 $\vvec$. 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 $\wvec$. What can we conclude about the matrix $A$ in this case?