Chapter 4, Problem 10P

Find the transfer function and poles of the system represented in state space here. [Section: 4.10]

$\begin{array}{l}\text{<mover accent="true"> <mo> x </mo> <mo> ˙ </mo> </mover>}=\left[\begin{array}{ccc}3& -4& 2\\ -2& 0& 1\\ 4& 7& -5\end{array}\right]\text{x+}\left[\begin{array}{c}-1\\ -2\\ 3\end{array}\right]u\left(t\right)\\ y=\left[\begin{array}{ccc}1& 7& 1\end{array}\right]\text{x;x}\left(0\right)=\left[\begin{array}{c}0\\ 0\\ 0\end{array}\right]\end{array}$