##### Exercise9

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

Find the eigenvalues and associated eigenvectors of \(A\text{.}\)

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

Verify your prediction using Sage.