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The state variable equations of a system are:

$\begin{array}{l} 1. \; x_{1}=-3 x_{1}-x_{2}+u \\ 2. \; x_{2}=2 x_{1} \\ \quad y=x_{1}+u \end{array}$

The system is

  1. controllable but not observable
  2. observable but not controllable
  3. neither controllable nor observable
  4. controllable and observable
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