The system mode described by state equations
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}}
0&1\\
2&{ - 3}
\end{array}} \right]x + \left[ {\begin{array}{*{20}{c}}
0\\
1
\end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}\]
A. controllable and observable
B. controllable but not observable
C. observable but not controllable
D. neither controllable nor observable
Answer: Option A

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