For the system, \(\dot{x} = \left[ {\begin{array}{*{20}{c}} 0&2\\ 3&2 \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u\)  and y = [1  0]x

check controllability and observability

1
Controllable but not observable
2
Not controllable but observable
3
Neither controllable not observable
4
Controllable and observable

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