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A note on the relation between the determinant and the permanent
Authors:M H Lim
Institution:  a Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia
Abstract:In this note we prove that there is no linear mapping T on the space of n-square symmetric matrices over any subfield of real field such that the determinant of A is equal to the permanent of T(A) for all symmetric matrices A if n≥3.
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