Kunze Linear Algebra · Problem 6.3.10

Elementary Canonical Forms

Mathematics — Methods · minimal-polynomial-left-multiplication

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.

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