16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.3.10

Elementary Canonical Forms

Mathematics — Linear Algebra · left-multiplication-minimal-polynomial

Problem

Let VV be the vector space of n×nn \times n matrices over the field FF. Let AA be a fixed n×nn \times n matrix. Let TT be the linear operator on VV defined by T(B)=AB.T(B) = AB. Show that the minimal polynomial for TT is the minimal polynomial for AA.

Related theory

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