Suppose V is a complex vector space and T 2 L.V /. Prove that Vhas a basis consisting of
Chapter 8, Problem 12(choose chapter or problem)
Suppose V is a complex vector space and T 2 L.V /. Prove that Vhas a basis consisting of eigenvectors of T if and only if the minimalpolynomial of T has no repeated zeros.[For complex vector spaces, the exercise above adds another equivalenceto the list given by 5.41.]
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