##### Exercise8

The power method we have developed only works if the matrix has real eigenvalues.

Suppose that \(A\) has a complex eigenvalue \(\lambda = 2+3i\text{.}\) What would happen if we apply the power method to \(A\) with most initial vectors \(\xvec_0\text{?}\)

Suppose that \(A\) has exactly two complex eigenvalues \(\lambda=0.2\pm 0.7i\text{.}\) What would happen if we apply the power method to \(A\text{?}\)