clc close all num = [1 2 3 2 1]; den = [1 4 7 6 2]; zeros = roots(num)

Problem 4: This problem introduces several MATLAB commands that are useful for workingwith the transfer function representation of a LTI system. As an example, consider a LTI systemdescribed by the transfer function$4 + 283 + 382 + 2s + 1H($) = 4+ 483 + 782 + 6s + 2'a) Using the MATLAB command roots, determine the poles and the zeros of the transfer functionH(s).b) In a previous homework we have learned that an LTI system can be represented in MATLABin terms of P and Q of the ODE representation of the system. Using these polynomials inconjunction with either the step or Isim commands allows us to find the response of a LTIsystem. We also have seen in class that the transfer function for the LTI system described bythe ODEQ (D)y (t) = P(D)f(t)isH (s) =Y(s)P(s)F(s)Q (s )And, so it is also possible to represent a transfer function in MATLAB using the polynomialsP and Q. In order to simplify the representation of LTI systems, MATLAB packages thepolynomials P and Q into a single structure using the command of> > sys = tf (P, Q)where P and Q are vectors and sys is a variable that represents the system. Now, generate apole-zero map of the transfer function above using the MATLAB command