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..

Printable View

- Dec 20th 2009, 03:04 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, 03:14 AMtonio