For a single input system

ẋ = Ax + Bu

y = Cx

\(A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&{ - 2} \end{array}} \right],\;B = \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right],\;C = \left[ {1\;1} \right]\)

The above system is

1
Both observable and controllable
2
Observable but not controllable
3
Controllable but not observable
4
Neither observable nor controllable
5
Can't be determined 

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