Consider the state space system

$$x $=$

$[32$

$10$

$]$

x $+$

$[11$

$00$

$]$

u$.(1)$

y $==$

$[11$

$11$

$]$

x $(2)$

$($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