On pseudomatroid property of matrices Original Research Article

A necessary and sufficient condition for a matrix to have pseudomatroid property is presented. Pseudosymmetric matrices, which possess pseudomatroid property, are introduced as a generalization of quasisymmetric matrices considered by A. Bouchet, A. Duchamp [Linear Algebra and Appl. 146 (1991) 67–78]. Principal unimodularity and perfect balancedness of these matrices are investigated. A result on nonbinary pseudomatroids is presented in the end.