Question: please write in details Suppose T : V -> V is a nilpotent linear operator. S : V -> V is another linear operator with

please write in details

Suppose T : V -> V is a nilpotent linear operator. S : V -> V is another linear operator with S3 - 9S = T Suppose we know that dim (ker T) = 2 dim (ker T n Im(T)) = 2 dim (ker T n Im(T2) ) = 2 T3 = 0 Please find ALL POSSIBLE Jordan Canonical Forms for S'

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