TEST $2$: Write a MATLAB program to examine the output state controllability and observability for the system having the state$-$space representation as:

$A=\left[\begin{array}{ccc}1& 0& 1\\ 0\mathrm{.}5& -2& 4\\ 4& 0\mathrm{.}3& -3\end{array}\right],B=\left[\begin{array}{cc}0& 1\\ 3& 1\\ 1& 2\end{array}\right],C=\left[\begin{array}{ccc}2& 1& -1\\ 1& 3& 2\end{array}\right],D=\left[\begin{array}{cc}0& 0\\ 0& 0\end{array}\right]$

matlab