Figure P2.75-1 shows the input–output relationships of Systems A and B, while Figure P2....

Figure P2.75-1 shows the input–output relationships of Systems A and B, while Figure P2.75-2 contains two possible cascade combinations of these systems.

If x₁[n] = x₂[n], will w₁[n] and w₂[n] necessarily be equal? If your answer is yes, clearly and concisely explain why and demonstrate with an example. If your answer is not necessarily, demonstrate with a counterexample.