Let T:V-->V be a nilpotent linear map of index =Dim(V)=n.Then show that dim(Ker(T))=1.

We know that {v,Tv,...,T^n-1(v)} is linearly independent in V.now how do i show further..

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- Dec 20th 2009, 04:04 AMmath.djNilpotent
Let T:V-->V be a nilpotent linear map of index =Dim(V)=n.Then show that dim(Ker(T))=1.

We know that {v,Tv,...,T^n-1(v)} is linearly independent in V.now how do i show further.. - Dec 20th 2009, 04:14 AMtonio