GATE EC 2026 Set 1 Q31 — Control Systems

The state and output equations for a control system are:

$$\begin{array}{c} \dot{x}=\left[\begin{array}{cc} -4 & -1.5 \\ 4 & 0 \end{array}\right] x+\left[\begin{array}{l} 2 \\ 0 \end{array}\right] u \\ y=\left[\begin{array}{ll} 1.5 & 0.625 \end{array}\right] x \end{array}$$
Which of the following expressions correctly represents the transfer function $\dfrac{Y(s)}{U(s)}$ of the system with zero initial conditions?