Question: A control system is defined by [ begin{aligned} & begin{array}{llllll} dot{x}_{1} & -1 & -3 & -3 & x_{1} & 3 end{array} & dot{x}_{2}=0
A control system is defined by
\[ \begin{aligned} & \begin{array}{llllll} \dot{x}_{1} & -1 & -3 & -3 & x_{1} & 3 \end{array} \\ & \dot{x}_{2}=0 \quad-2 \quad 1 \quad x_{2}+0 u \\ & \begin{array}{llllll} \dot{x}_{3} & 2 & 0 & -1 & x_{3} & 1 \end{array} \\ & y=\left[\begin{array}{llll} & & & x_{1} \\ 1 & 2 & 0] \end{array} \begin{array}{c} x_{2} \end{array}\right. \\ & x_{3} \end{aligned} \]
Determine the controllability and observability of the system using MATLAB.
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