Construct dual phase variable form simulation diagram for the following transfer functions and develop state space model in matrix form.

(a) \(\frac{\mathrm{Y}(s)}{\mathrm{R}(s)}=\mathrm{T}(s)=\frac{2 s+8}{3 s^{3}+7 s^{2}+8 s+2}\)

(b) Two inputs:

\[
\begin{aligned}
& \mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{1}(s)}=\frac{3 s^{2}+9}{s^{3}+3 s^{2}+s+9} \\
& \mathrm{~T}_{12}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{2}(s)}=\frac{s-4}{s^{3}+3 s^{2}+s+9}
\end{aligned}
\]