Let T be a linear operator on a finite-dimensional vector space V whose characteristic
Chapter 7, Problem 9(choose chapter or problem)
Let T be a linear operator on a finite-dimensional vector space V whose characteristic polynomial splits. (a) Prove Theorem 7.5(b). (b) Suppose; that ft is a Jordan canonical basis for T. and let A be an eigenvalue of T. Let ft' = ft n KA- Prove that ft' is a basis for KA
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