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Give an example of a matrix $A$ with the following three properties:
i). $A$ has eigenvalues $-1$ and 2 .
ii). The eigenvalue $-1$ has eigenvector $\left(\begin{array}{l}1 \\ 2 \\ 3\end{array}\right)$.
iii). The eigenvalue 2 has eigenvectors $\left(\begin{array}{l}1 \\ 1 \\ 0\end{array}\right)$ and $\left(\begin{array}{l}0 \\ 1 \\ 1\end{array}\right)$.
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