use matlab

2 . (Observability) Consider the system 1 Ja lo 1 0 *(t)=0 0 1-2 -4 -6 y(t)=1 0 0 x(t) Suppose that we are given three observations y(t), i=1,2,3, as follows: y(t)=1 at t = 0 y(t)=-0.0256 at t = 2 y(tz)=-0.2522 at tz = 4 (a) Using the three observations, develop a method to determine the initial value of the state vector X(to ) for the system that will reproduce the three observations when simulated using the Isim function. 6) With the observations given, compute x(to) and discuss the condition, under which this problem can be solved in general, (c) Verify the result by simulating the system response to the computed initial condition. (Hint: Recall that X(t)= e Art=to) x( t. ) for the system)