(Solved): Consider a linear system with state-space model matrices A=[431112],B=[02],C=[1 ...

Consider a linear system with state-space model matrices $$A=\left[\begin{array}{cc}?4& 11\\ 3& ?12\end{array}\right],B=\left[\begin{array}{l}0\\ 2\end{array}\right],C=\left[\begin{array}{ll}1& 0\end{array}\right],D=[0]$$ For this system, respond to the following questions and imperatives. a. What is the equilibrium state $$\stackrel{?}{x}$$ for input $$u(t)=0$$ ? b. Find the corresponding input-output ODE for the system. c. Demonstrate the asymptotic stability, marginal stability, or instability of the system from the ODE.