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Let $x[n]$ and $y[n]$ be the input and output of a linear time invariant $\text{(LTI)}$ system. Then which of following system is $\text{LTI}$.

  1. $z[n]=y[n]+c$ for a constant $c$.
  2. $z[n]=x[n] y[n]$.
  3. $z[n]=y[n]+x[n]+c$ for a constant $c$.
  4. $z[n]=y[n]+x[n]$.
  5. None of the above.

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