16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 7.4.3

The Rational and Jordan Forms

Mathematics — Linear Algebra · normal-form-invariant-factors

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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