###### 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?

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