Problem $2$:

A single$-$input, single$-$output system has the following matrix equations:

$x^{}(t)=\left[\begin{array}{ccc}0& 1& -6\end{array}\right]$

$-2x(t)+\left[\begin{array}{c}0\end{array}\right]$

$1u(t)$

$y(t)=\left[\begin{array}{cc}2& 0\end{array}\right]x(t)$

Determine the Transfer Function, $G(s)=\frac{Y(s)}{U(s)}$