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correiponding oigenvector.

$8.$ Is $x=3$ an eigenvalue of $\left[\begin{array}{ccc}1& 2& 2\\ 3& -2& 1\\ 0& 1& 1\end{array}\right]$ If $,$ find one corresponding eigenvector.

In Fxersises $9-16,$ find a basis for the eigenspace corresponding to each listed eigenvaltie.

$9.A=\left[\begin{array}{cc}9& 0\\ 2& 3\end{array}\right]*=3,9$

$10.A=\left[\begin{array}{cc}14& -4\\ 16& -2\end{array}\right],=6$

$11.A=\left[\begin{array}{cc}4& -2\\ -3& 9\end{array}\right]*=10$

$12.A=\left[\begin{array}{cc}1& 4\\ 3& 2\end{array}\right],=-2\mathrm{.}5$

$13.A=\left[\begin{array}{ccc}4& 0& 1\\ -2& 1& 0\\ -2& 0& 1\end{array}\right],=1\mathrm{.}2,3$

$14.A=\left[\begin{array}{ccc}3& -1& 3\\ -1& 3& 3\\ 6& 6& 2\end{array}\right],=-4$

$15.A=\left[\begin{array}{ccc}8& 3& -4\\ -1& 4& 4\\ 2& 6& -1\end{array}\right],=7$