Following input output pairs have been observed during the

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Following input output pairs have been observed during the operation of a time invariant system

The conclusion regarding the linearity of the system

1. system is linear
2. system is not linear
3. one more observation is required
4. conclusion cannot be drawn from observation

Correct Option: B

Syst em is not linear. This is evident from observation of the pairs
x₃[n] ⇔ y₃[n] and x₂ [n] ⇔ y₂ [n]
If the system were linear y₂[n] would be of the form
y₂ [n] = {3, 6, 3} ↑