2.Consider a third order system described by

2.Consider a third order system described by001]dx(t)=Ax(t)+Bu(t)=100x(t)+0t);y(t)=Cx(t)d0-101(2.a)Obtain the eigenvalues of A and compute the state transition matrix.(2.b)Obtain all initial conditions which will let the zero input response (free response)converge tothe origin.(2.c)The following two things are known about the transfer function G(s)=Y(s)/U(s):1)G(0)=1.5and2)Zeros of G(s)are at -0.5 and -2.Obtain C in the output equation.