Question: Oucation 2: (a) Determine whether the discrete time system which has an output y[n]=2x[n] over the interval 0 en n=10 is linear or not by

Oucation 2: (a) Determine whether the discrete time system which has an output y[n]=2x[n] over the interval 0 en n=10 is linear or not by determining the response y [ [n] to the input sigalxl[n]=sin((2pi/(0))n) and the response y2[n] to the input signal x(u]=cos(2pi/10)n). Determine the response y3[n] to the input signal 3[n]x][n]+2[n] and compare it with y+[n]=y][n]+y2[n]. Plot (using stem) in one graph all the input signals and their. corresponding output signals. Use the disp command to output whether the system has 'outputs consistent with a finear system ' or 'not linear'. (b) Design an experiment to test whether the systems: (i) y[n]2x(n] (ii) y[n]2.x[n]5[n] are linear and time-invariant. Use the input data x[n]=[0,1]. Next, using a larger set of values, for your choice of the inpur data, repeat the experiment and analyze and interpret: the results obtained with this new data set. Do the new resalfs validate or invalidate the original results obtained with [n]=[0,1] as choice of input data? Explain bow a choice of data used may impact the results obtained

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