PROBLEM: Determine whether the system
\dot{x}= Ax +Bu =\left[\begin{matrix} -1 & 1 & 2 \\ 0 & -1 & 5 \\ 0 & 3 & -4 \end{matrix} \right] x+\left[\begin{matrix} 2 \\ 1 \\ 1 \end{matrix} \right] uis controllable.
PROBLEM: Determine whether the system
\dot{x}= Ax +Bu =\left[\begin{matrix} -1 & 1 & 2 \\ 0 & -1 & 5 \\ 0 & 3 & -4 \end{matrix} \right] x+\left[\begin{matrix} 2 \\ 1 \\ 1 \end{matrix} \right] uis controllable.