A system has the state$-$space equations

$]|$

$[x_2(k+1)$

The system transfer function

Drew the block diagram for the system

Determine whether the system is asymptotically stable

The state transition matrix $(k)$

Find $x(1),x(2),y(1),$ and $y(2)$ for a sampled unit step input using the state transition matrix

Suppose all initial values are zero