16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 7.3.7

The Rational and Jordan Forms

Mathematics — Linear Algebra · trace-characteristic-polynomial

Problem

If AA is an n×nn \times n matrix over the field FF with characteristic polynomial f=(x−c1)d1⋯(x−ck)dkf = (x - c_1)^{d_1} \cdots (x - c_k)^{d_k} what is the trace of AA?

Related theory

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