Chapter 4.1, Problem 6EQ

In Exercises 1-6, show that $v$is an eigenvector of A and find the corresponding eigenvalue.

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