2015-5 trace and matrices

Determine all \(n\times n\) matrices A such that \( \operatorname{tr}(AXY)=\operatorname{tr}(AYX)\) for all \(n\times n\) matrices \(X\) and \(Y\).

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2 thoughts on “2015-5 trace and matrices

  1. Wooyoung Chin

    A, X, Y는 체(field) 위에서의 행렬인가요? 아니면 혹시 일반적인 환(ring) 위에서의 행렬인지요?

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