The matrix A=\left[\begin{array}{ccc}
6 &3 &-3\cr
-5 &-2 &5\cr
-2 &-2 &5
\end{array}\right]
has eigenvalue \lambda = 3 repeated three times.
It has an eigenspace of dimension 2
and one generalized eigenvector.

** A. **
Find a basis for the

, |

** B. **
Find a generalized

generalizes the |

You can earn partial credit on this problem.