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The system moded described by the state equations is
\[
\begin{array}{l}
\mathrm{X}=\left[\begin{array}{cc}
0 & 1 \\
2 & -3
\end{array}\right] x+\left[\begin{array}{l}
0 \\
1
\end{array}\right] u \\
\mathrm{Y}=\left[\begin{array}{ll}
1 & 1
\end{array}\right] x
\end{array}
\]

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