Consider the relation given below:

\(Y\left[ n \right] = \mathop \sum \limits_{k = 0}^{{n^2}} {\rm{cos\;}}(\frac{\pi }{4}k)x\left[ k \right]\). The system is:

1
Linear, time-invariant, causal, and unstable
2
Non-linear, time-variant, non-causal and stable
3
Linear, time-invariant, causal, and stable
4
Linear, time-variant, non-causal, and unstable

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