Consider a system S with input x[n] and output y[n] related by (a) If g[n] = 1...

Consider a system S with input x[n] and output y[n] related by

(a) If g[n] = 1 for all n, show that S is time invariant.

(b) If g[n] = n, show that S is not time invariant.

(c) If g[n] = 1 + (-1)ⁿ, show that S is time invariant.