Kunze Linear Algebra · Problem 3.1.9

Linear Transformations

Mathematics — Methods · commutator-linear-transformation

Problem

Let VV be the vector space of all n×nn \times n matrices over the field FF, and let BB be a fixed n×nn \times n matrix. If T(A)=AB−BAT(A) = AB - BA verify that TT is a linear transformation from VV into VV.

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