The system T in Figure P2.48 is known to be time invariant. When the inputs to the syste...

The system T in Figure P2.48 is known to be time invariant. When the inputs to the system are x₁[n], x₂[n], and x₃[n], the responses of the system are y₁[n], y₂[n], and y₃[n], as shown.

(a) Determine whether the system T could be linear.

(b) If the input x[n] to the system T is δ[n], what is the system response y[n]?

(c) What are all possible inputs x[n] for which the response of the system T can be determined from the given information alone?