Let T be a linear operator on a finite-dimensional vector space V such that the
Chapter 7, Problem 13(choose chapter or problem)
Let T be a linear operator on a finite-dimensional vector space V such that the characteristic polynomial of T splits, and let Ai, A2 ,..., Afc be the distinct eigenvalues of T. For each i, let Jt be the Jordan canonical form of the restriction of T to KA^ . Prove that J - J\ J 2 Jfc is the Jordan canonical form of J.
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