Convolution and LTI systems: A linear system S has the relationship y[n] = Σx∞ x[k]g[n— 2k] between its input x[n] and its output y[n], where - a) Determine y[n] when x[n] = d[n — 1]. b) Determine y[n] when x[n] = d[n— 2]. c) Is S an LTI system? g[n] = u[n] – u[n— 4]. Hint: Show the system output with input x[n] = d[n-1]is y[n] = g[n-2]