##### Exercise8

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

1. 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 $$\xvec_0\text{?}$$

2. 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 $$A\text{?}$$

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