solve the $2$ control system cource quations please

Determine the state$-$space model of the system given by the following transfer function:

$\frac{Y(s)}{U(s)}=\frac{6}{3s^2-12s+18}$

Salestone

a$.$

$\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}0& 1& -4\end{array}\right]$

$6*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}0\end{array}\right]$

$6*u$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

$b.\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}0& 1& 4\end{array}\right]$

$-6*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}0\end{array}\right]$

$2*u$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

$c\left[\begin{array}{c}{x}_1^{}\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}0& 1& 4\end{array}\right]$

$-6*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}0\end{array}\right]$

$6*u$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

d$.$ None of these

$e\left[\begin{array}{c}{x}_1^{}\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}0& 1& -4\end{array}\right]$

$6*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}0\end{array}\right]$

$2*u$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

Obtain the transfer function $Y\frac{s}{U}(s)$ of the system defined by the following state$-$space representation:

$\left[\begin{array}{c}{x}_1^{}\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}7& 2& 4\end{array}\right]$

$1*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}1\end{array}\right]$

$1*u$

$y=\left[\begin{array}{cc}2& 1\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

Salect one

a None of these

b$.\frac{Y(s)}{U(s)}=\frac{s-10}{s^2-11s+26}$

c $\frac{Y(s)}{U(s)}=\frac{3a+10}{s^2-11s+26}$

d$.\frac{Y(s)}{U(s)}=\frac{3s-11}{s^2-11n+26}$

e $\frac{Y(s)}{U(a)}=\frac{3s-10}{s^2+11s-26}$