Abstract.In this paper, we propose the inequalities which are satisfied by the determinant of the solutions to the systems of matrix equations { AX B T +B X T A T =C, DX E T +E X T D T =F, (I) { AX B ...

This paper gives sharp bounds on the eigenvalues of a natural random walk on the group of upper triangular n × n matrices over the field of characteristic p, an odd prime, with 1's on the diagonal. In ...