Answer in MATLAB

1. Is the transform y[n]-T[x[n)] 0.5 x [n] linear and/or shift invariant? (a) using 100 samples each over n=0.99 of two functions x1 [n] and x2[n] of random integers of values 1 to 10 and constants a 1 and b -1, test for linearity. Note: use xeround(10-1) rand(1,100)1+1 in Matlab to create the random sequence. (b) using a shift value of 3 and sequence x1[n], test for shift invariance