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Give an example of a linear system x = Ax whose flow satisfies limt |e^(At)x| = 0 for all x Rn, but |e^(At)x| is not

Give an example of a linear system x = Ax whose flow satisfies limt |e^(At)x| = 0 for all x Rn, but |e^(At)x| is not monotonically decreasing

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