Consider two systems as follows: System $1$: x$=$ Ax $+$ B$1$u and System $2$: $$x $=$ Ax $+$ B$2$u where A $=231322132,$ B$1=113$ and B$2=111.$ For each system answer the following questions $($a$)$ Is the uncontrolled system $($u$=0),$ stable or not stable. Why? $($b$)$ Is the system controllable or not controllable. Why? $($c$)$ If the system is controllable, then compute a gain matrix K such that u $=$Kx and the poles $($eigenvalues$)$ are placed at $1,2,3.$