Given the linear time invariant system defined by:

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

show that the system is unstable and then design a stabilizing feedback controller such that the three

eigenvalues will be placed on the real axis and are all equal to $-2.$