Cullis-Radić determinant of a rectangular matrix which has a number of identical columns

Abstract

In this paper we present how identical columns affect the Cullis-Radić determinant of an \(m\times n\) matrix, where \(m\leq n\).

Some 3D-Determinant Properties for Calculating of Cubic-Matrix of Order 2 and Order 3

“…In the paper [2], we have defined the concept of determinant for cubic-matrix of order 2 and order 3, and we have prove some basic properties for calculating this determinants. This idea for developing this concept, it came simply from the determinant of 2D square matrices [19][20][21][24][25][26]29], as well as determinant of rectangular matrices [3,[15][16][17][18][30][31][32][33]. In paper [1] we have prove that the Laplace expansion method is valid for calculating the determinant of cubic-matrix for orders 2 and 3.…”