Chapter 4.1, Problem 11EQ

In Exercises 7-12, show that $\lambda$is an eigenvector of A and find one eigenvector corresponding to this eigenvalue.

$A=\left[\begin{array}{ccc}1& 0& 2\\ -1& 1& 1\\ 2& 0& 1\end{array}\right],\lambda =-1$