Determine If the fellowing systems represented in (a) and (b) are characterized by the following relations, determine whether the systems are:(i) Memory or memoryless (ii) lincar or non-lincar, (iii) causal or non-causal, and (v) shift-invariant or shift-varying. Justify your answers with proofs or counter-examples. In all cases x(n) is the input to the system and y[n] is the output of the system. Assume zero initial condition where necessary. (a) y[n] = nx[n– 1]. (b) y[n] = x²[n+2].

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