Kunze Linear Algebra · Problem 7.4.3

Rational and Jordan Forms

Mathematics — Methods · invariant-factors-normal-form

Problem

Let AA be an n×nn \times n matrix with entries in the field FF and let f1,…,fnf_1, \ldots, f_n be the diagonal entries of the normal form of xI−AxI - A. For which matrices AA is f1≠1f_1 \neq 1?

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