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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
$$y\left[ n \right] = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {{\rm{for}}\,0 \le n \le 10} \cr {x\left[ n \right] - x\left[ {n - 1} \right],} & {{\rm{otherwise}}} \cr } } \right.$$
Which one of the following statements is true about the system?

Answer & Solution
Correct Answer: Option A
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