Obtain controllability and observability matrices and investigate whether or not the following systems are completely controllable and/or completely observable.
(a) \(\left[\begin{array}{l}\dot{x}_{1} \\ \dot{x}_{2} \\ \dot{x}_{3}\end{array}ight]=\left[\begin{array}{rrr}1 & 0 & -2 \\ 3 & -3 & 0 \\ 0 & 0 & 1\end{array}ight]\left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}ight]+\left[\begin{array}{rr}1 & -1 \\ 2 & 0 \\ 0 & 0\end{array}ight]\left[\begin{array}{l}u_{1} \\ u_{2}\end{array}ight]\)
\(\left[\begin{array}{l}y_{1} \\ y_{2}\end{array}ight]=\left[\begin{array}{rrr}0 & 4 & 1 \\ 0 & -2 & 3\end{array}ight]\left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}ight]\)

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(b) R(s) 1/s 2 3 1/s 1/s 1 -o Y(s)