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POSITIVE-DEFINITE MATRICES OVER FINITE FIELDS

POSITIVE-DEFINITE MATRICES OVER FINITE FIELDS

The study of positive-definite matrices has focused on Hermitian matrices, that is, square matrices with complex (or real) entries that are equal to their own conjugate transposes. In the classical setting, positive-definite matrices enjoy a multitude of equivalent definitions and properties. We investigate when a square, symmetric matrix with entries …