For the system described by the state equation

\[
\dot{x}=\left[\begin{array}{ccc}
0 & 1 & 0 \\
0 & 0 & 1 \\
0.5 & 1 & 2
\end{array}ight] x+\left[\begin{array}{l}
0 \\
0 \\
1
\end{array}ight] u
\]

if the control signal \(u\) is given by \(u=\left[\begin{array}{lll}-0.5 & -3 & -5\end{array}ight] x+v\), then the eigen values of the closedloop system will be
(a) \(0,-1,-2\)
(b) \(0,-1,-3\)
(c) \(-1,-1,-2\)
(d) \(0,-1,-1\)