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IMC2015, problem 9

Source: IMC2015

July 30, 2015
college contestslinear algebraMatricesIMC2015

Problem Statement

An n×nn \times n complex matrix AA is called \emph{t-normal} if AAt=AtAAA^t = A^t A where AtA^t is the transpose of AA. For each nn, determine the maximum dimension of a linear space of complex n×nn \times n matrices consisting of t-normal matrices.
Proposed by Shachar Carmeli, Weizmann Institute of Science
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