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Still From Edx Signals and Systems

Someone please explain me the question its seems very complicated to me. I just want know what the question asking and how to solve it i dont want fully solved solution. Thank you!!

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    $\begingroup$ "As proven in lecture ..." Did you take a look at that proof? That's the key to answering this question. $\endgroup$ – Matt L. Mar 6 '18 at 7:22
  • $\begingroup$ What is an LSI system? LTI is a common abbreviation that most readers of dsp.SE are familiar with, but LSI was superseded by VLSI a long time ago.... $\endgroup$ – Dilip Sarwate Mar 6 '18 at 16:19

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