1. When an input to an LTI system is x[n] = 5u[n], the output is y[n] = [2 (2)" + 3(-3)"]u(n). a) Determine the system function H(2) of the system. Plot the poles and zeros of H(2), and indicate the ROC. (7 Marks) b) Calculate the impulse response h[n] of the system for all values of n. (5 Marks) c) Write the difference equation that characterizes the system. (5 Marks) d) Comment on the stability of the system. (3 Marks)