Consider a system described by the following state-space equations:(a) Determine the characteristic polynomial and the eigenvalues of the system.(b) Determine the state transition matrix ?(n) for n ? 0.(c) Determine the system function and the impulse response of the system.(d) Compute the step response of the system if v(0) = [0 1]t.(e) Sketch a state-space realization for the system.

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v(r + 1) = [_os1 i x(n) -0.81 v(n)+ y(n) = [-1.81 1}v(n) + x(n)