Exercise 2

For each, find the characteristic polynomial and the eigenvalues.

• (a)  $\begin{pmatrix}10&-9\\ 4&-2\end{pmatrix}$     (b)  $\begin{pmatrix}1&2\\ 4&3\end{pmatrix}$     (c)  $\begin{pmatrix}0&3\\ 7&0\end{pmatrix}$     (d)  $\begin{pmatrix}0&0\\ 0&0\end{pmatrix}$     (e)  $\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$