Consider a system that fakes the input sequenceaxny , n= 0, 1 , 2 , - - to generate output ( To X ) = n + ws ( xn-1 ) , n = 1 , 2 .. . and ( T . X ) = XO . Check the properties below . Give proof if positive and counter exsample if otherwise : a ) linear ; time invariant 's memorylev , causal ; stable b) Identify the : impulse response , transfer function i frequency resporn