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Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation such that (T-3)^3=0

Posted: Thu May 12, 2022 12:41 pm
by answerhappygod
Let V be a finit dimensions vector space of at least dim =1, Let
T: V-> V be a linear transformation such that (T-3)^3=0 Show
that vectors in (range(t-3)^3 are contained in ker(t-3)