Solve then use matlab

Homework The z-transform of LTI systems can be expressed as a ratio of two polynomials in z1 Also, the rational z-transform can be written in factored form be 11:1(1-G2-1) = z(N-M) Palla for z = H (G) = 0, the values of z are the zeros of the system for z PH(Poo, the values of z are the poles of the system Use MATLAB to graph Hints: . z:is a complex number . use: o x-linspace(-4,4,256); o y-linspace(-4,4,256) use meshgrid" function in MATLAB to create re_z (real part) and im-z (imaginary part) to be used as real and imaginary part of z. Also make sure you use scalar multiplication, power and division (and "./") use "mesh" to graph, for H(z), use logarithmic scale for H(z) . . Use MATLAB . . Determine poles and zeros. Hint: "tf2zpk" function Graph poles and zeros. Hint: "zplane" function Plot the frequency response. Hint: "freqz" function