Question: Let S and T be linear operators on V and assume that ST = TS. (a) Show that imS and kerS1 are T-invariant. (b) If

Let S and T be linear operators on V and assume that ST = TS.
(a) Show that imS and kerS1 are T-invariant.
(b) If U is T-invariant, show that S(U) is T-invariant.

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