In this paper, we investigate the properties of the determinant of any M-matirix. We prove that any M-matrix satisfies the Hadamrd inequality and the Fischer inequality to hold in cach of these two inequalities. We give an interesting inequality for the determinant of the Hadamard produet of an M-matrix and a tridiagonal oscillatory matrix and for the products of all the k×k principal minors, k=1,…, n of an M-matrix of order n, cstablish, an inequality which, is a kind of generalization of Hadamard inequali...
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