##### Exercise9

Consider the matrix $$A=\left[\begin{array}{rr} 1 \amp 1 \\ 0 \amp 1 \\ \end{array}\right] \text{.}$$

1. Find the eigenvalues and associated eigenvectors of $$A\text{.}$$

2. Make a prediction about what happens if we apply the power method and the inverse power method to find eigenvalues of $$A\text{.}$$

3. Verify your prediction using Sage.

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