Obtain controllability and observability matrices and investigate whether or not the following system is completely controllable and/or completely observable.

\[
\begin{aligned}
& {\left[\begin{array}{l}
\dot{x}_{1} \\
\dot{x}_{2} \\
\dot{x}_{3}
\end{array}ight]=\left[\begin{array}{rrr}
3 & 0 & -5 \\
-2 & 1 & 5 \\
0 & 0 & -2
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2} \\
x_{3}
\end{array}ight]+\left[\begin{array}{rr}
1 & 0 \\
2 & 0 \\
0 & -1
\end{array}ight]\left[\begin{array}{l}
u_{1} \\
u_{2}
\end{array}ight]} \\
& {\left[\begin{array}{l}
y_{1} \\
y_{2}
\end{array}ight]=\left[\begin{array}{lll}
4 & 1 & -3 \\
3 & 2 & -1
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2} \\
x_{3}
\end{array}ight]}
\end{aligned}
\]