Some 3\times 3 matrix A has eigenvalue \lambda = -2 repeated twice.

The matrixA has a -2 -eigenvector
\boldsymbol{\vec{v}} =
\left\lbrack\begin{array}{c}
1 \\
-2 \\
2
\end{array}\right\rbrack
and \boldsymbol{\vec{v}} has a generalized eigenvector
\boldsymbol{\vec{w}} =
\left\lbrack\begin{array}{c}
3 \\
-2 \\
2
\end{array}\right\rbrack .

The matrix

** A.**
Modify

and |

** B.**
Modify

and |

** C.**
Now write a vector which generalizes the

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