$A,=\left[\begin{array}{ccccccc}\frac{2}{3}& \frac{5}{3}& -\frac{1}{3}& 1& -1& \frac{4}{3}& -\frac{2}{3}\end{array}\right]$

$\frac{4}{3}$

$\frac{4}{3}$

$2,B=\left[\begin{array}{c}1\end{array}\right]$

$0$

$0$

$C,=\left[\begin{array}{ccc}0& 1& 1\end{array}\right]$

Suppose $A,B,$ and $C$ above represents the parameters of a state$-$space model of a plant. Assuming that we can measure all of the states of the system, can we place the poles of the system to $-1,-2,$ and $-3$ using state feedback?