Question: The system T in Figure is known to be time invariant, when the inputs to the system are x 1 [n], x 2 [n], and

The system T in Figure 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 ?[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 determine from the given information alone?

yln] x2[n] [r] 0 1 2 3 *3[n] ya[n] Ir 01 23

yln] x2[n] [r] 0 1 2 3 *3[n] ya[n] Ir 01 23 4n -2 -1 0

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