$(10$ points$)$ Consider the state space system

x$^()=[[-3,-2,0]]$

$1$x$+[[1,-1,0]]$

$0$u

y$==[[1,1,-1]]$

$-1$x

$($a$)(5$ points$)$ Show that the system is controllable but not observable.

$($b$)(5$ points$)$ Give an example of a silent state, i$.$e$.,$ an initial state x$(0)!=[[0],[0]]$ that will generate a constant output

y$($t$)=[[0],[0]]$ when u$($t$)=[[0],[0]].$

PLEASE SOLVE ASAP!