Kunze Linear Algebra · Problem 6.2.15

Elementary Canonical Forms

Mathematics — Methods · left-multiplication-characteristic-values

Problem

Let VV be the space of n×nn \times n matrices over FF. Let AA be a fixed n×nn \times n matrix over FF. Let TT be the linear operator 'left multiplication by AA' on VV. Is it true that AA and TT have the same characteristic values?

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