Geodesic
Properties of the determinant of a rectangular matrix
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 68 (2014) no. 1.

Voir la notice de l'article provenant de la source Library of Science

In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column. 
@article{AUM_2014_68_1_a3,
     author = {Makarewicz, Anna and Pikuta, Piotr and Sza{\l}kowski, Dominik},
     title = {Properties of the determinant of a rectangular matrix},
     journal = {Annales Universitatis Mariae Curie-Sk{\l}odowska. Mathematica },
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUM_2014_68_1_a3/}
}
TY  - JOUR
AU  - Makarewicz, Anna
AU  - Pikuta, Piotr
AU  - Szałkowski, Dominik
TI  - Properties of the determinant of a rectangular matrix
JO  - Annales Universitatis Mariae Curie-Skłodowska. Mathematica 
PY  - 2014
VL  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUM_2014_68_1_a3/
LA  - en
ID  - AUM_2014_68_1_a3
ER  - 
%0 Journal Article
%A Makarewicz, Anna
%A Pikuta, Piotr
%A Szałkowski, Dominik
%T Properties of the determinant of a rectangular matrix
%J Annales Universitatis Mariae Curie-Skłodowska. Mathematica 
%D 2014
%V 68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUM_2014_68_1_a3/
%G en
%F AUM_2014_68_1_a3
Makarewicz, Anna; Pikuta, Piotr; Szałkowski, Dominik. Properties of the determinant of a rectangular matrix. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 68 (2014) no. 1. http://geodesic.mathdoc.fr/item/AUM_2014_68_1_a3/

[1] Amiri, M., Fathy, M., Bayat, M., Generalization of some determinantal identities for non-square matrices based on Radic’s definition, TWMS J. Pure Appl. Math. 1, no. 2 (2010), 163-175.

[2] Radić, M., A definition of determinant of rectangular matrix, Glas. Mat. Ser. III 1(21) (1966), 17-22.

[3] Radić, M., About a determinant of rectangular 2 × n matrix and its geometric interpretation, Beiträge Algebra Geom. 46, no. 2 (2005), 321-349.

[4] Radić, M., Areas of certain polygons in connection with determinants of rectangular matrices, Beiträge Algebra Geom. 49, no. 1 (2008), 71-96.

[5] Radić, M., Certain equalities and inequalities concerning polygons in R2, Beiträge Algebra Geom. 50, no. 1 (2009), 235-248.

[6] Radić, M., Sušanj, R., Geometrical meaning of one generalization of the determinant of a square matrix, Glas. Mat. Ser. III 29(49), no. 2 (1994), 217-233.