Let V be a vector space over a field K. Let be two linear maps. Given any polynomial let . Prove that if AB=BA, then is a B-invariant subspace of V.
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Originally Posted by mathematicalbagpiper Let V be a vector space over a field K. Let be two linear maps. Given any polynomial let . Prove that if AB=BA, then is a B-invariant subspace of V. and we're done. The fact that follows easily from and a little induction on . Tonio
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