3. (5+5+5+5+5 points) Consider the following I/O relation for a discrete-time system S: y[n] = nx[n], where x[n] is the input and y[n] is the corresponding output. Determine whether the system is: (a) memoryless or not; (b) time-invariant or not; (c) linear or not; (d) causal or not; (e) stable or not. Justify your answers.

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