I need the plots in matlab so I also need matlab codes.

A system is described by the following difference equation y[n + 1] = ay[n] + By[n 1] + ax[n+ 1] + bx[n] + cx[n 1] (i) Select appropriate values for the coefficients so that the system is a low- pass filter and has a frequency response with a maximum magnitude of 1. [5 marks] (ii) Select appropriate values for the coefficients so that the system is a high- pass filter and has a frequency response with a maximum magnitude of 1. [5 marks] (iii) Plot the frequency responses as a function of wT and comment on the result. w is the frequency in rad/s and T is the sampling interval in seconds. (10 marks] (iv) Select two frequencies, 0.01Hz s fi