16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.7.3

Linear Transformations

Mathematics — Linear Algebra · transpose-commutator-trace

Problem

Let VV be the space of all n×nn \times n matrices over a field FF and let BB be a fixed n×nn \times n matrix. If TT is the linear operator on VV defined by T(A)=AB−BAT(A) = AB - BA, and if ff is the trace function, what is TtfT^t f?

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