Let T be a linear operator on a finite-dimensional vector space V with the distinct
Chapter 5, Problem 10(choose chapter or problem)
Let T be a linear operator on a finite-dimensional vector space V with the distinct eigenvalues Ai,A2,...,Afc and corresponding multiplicities mi,m2 ,.. . , mk. Suppose that 0 is a basis for V such that [T]p is an upper triangular matrix. Prove that the diagonal entries of [T]p are Ai, A2,... .Afc and that each Ai occurs mi times (1 < i < k).
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