Problem 27
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}3 & 5 & -5 \\ -2 & 3 & 2 \\ -2 & 5 & 0\end{array}\right]$$
Problem 28
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{lll}1 & 2 & 1 \\ 1 & 2 & 3 \\ 1 & 1 & 1\end{array}\right]$$
