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Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as
\[y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} {n\left| {x\left[ n \right]} \right|,}&{{\text{for }}0 \leqslant n \leqslant 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],}&{{\text{otherwise}}} \end{array}} \right.\]
Which one of the following statements is true about the system?

Answer & Solution
Correct Answer: Option A
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