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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


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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

https://hrcak.srce.hr/82581

Publication date:

3.6.2012.

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