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Part B: The basics of linearity

$ e^{2jt} \rightarrow linear-system \rightarrow te^{-2jt} $

$ e^{-2jt} \rightarrow linear-system \rightarrow te^{2jt} $

From these two transformations we can tell that the system is as below:

$ x(t) \righarrow linear-system \rightarrow y(t) = tx(-t) $

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