Glasnik matematički, Vol. 47 No. 1, 2012.
Original scientific paper
https://doi.org/10.3336/gm.47.1.15
On determinants of rectangular matrices which have Laplace's expansion along rows
Mirko Radić
; University of Rijeka, Department of Mathematics, 51000 Rijeka, Omladinska 14, Croatia
Rene Sušanj
; University of Rijeka, Department of Mathematics, 51000 Rijeka, Omladinska 14, Croatia
Abstract
Let A be any given m × n (m ≤ n) matrix over some field and let detA be the determinant of A calculated by Definition 1 given in [1]. Let det*A denote determinant of A calculated by any other definition which possess Laplace's expansion along rows. Then there exists constant α such that det*A = α detA.
Keywords
Determinant of rectangular matrix; Laplace's expansion along rows
Hrčak ID:
82581
URI
Publication date:
3.6.2012.
Visits: 1.339 *