The state and output equations of a system are

\[
\begin{aligned}
{\left[\begin{array}{l}
\dot{x}_{1} \\
\dot{x}_{2}
\end{array}ight] } & =\left[\begin{array}{rr}
0 & 1 \\
-1 & -2
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2}
\end{array}ight]+\left[\begin{array}{l}
0 \\
1
\end{array}ight] u(t) \\
y(t) & =\left[\begin{array}{ll}
1 & 1
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2}
\end{array}ight]
\end{aligned}
\]

The systems is

(a) neither state controllable nor output controllable

(b) state controllable but not output controllable

(c) output controllable but not state controllable

(d) both state controllable and output controllable.