Consider a system described by the state model \[\mathop X\limits^. = \left[ {\begin{array}{*{20}{c}}
2&1\\
{ - 1}&2
\end{array}} \right]X + \left[ \begin{array}{l}
1\\
1
\end{array} \right]U{\rm{ and }}Y = \left[ {1\,\,1} \right]X\]
The system is:
A. Controllable but not observable
B. Uncontrollable and observable
C. Both controllable and observable
D. Neither controllable nor observable
Answer: Option C

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