Properties of the determinant of a rectangular matrix

• Autorzy: Anna Makarewicz , Piotr Pikuta , Dominik Szałkowski
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2014
• Tom: 68
• Numer: 1

Daty

wydano

2014

online

2015-05-23

Twórcy

autor

Anna Makarewicz

autor

Piotr Pikuta

autor

Dominik Szałkowski

Bibliografia

• 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.
• Radić, M., A definition of determinant of rectangular matrix, Glas. Mat. Ser. III 1(21) (1966), 17-22.
• Radić, M., About a determinant of rectangular 2 × n matrix and its geometric interpretation, Beiträge Algebra Geom. 46, no. 2 (2005), 321-349.
• Radić, M., Areas of certain polygons in connection with determinants of rectangular matrices, Beiträge Algebra Geom. 49, no. 1 (2008), 71-96.
• Radić, M., Certain equalities and inequalities concerning polygons in R2, Beiträge Algebra Geom. 50, no. 1 (2009), 235-248.
• 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.

Identyfikatory

DOI

10.17951/a.2014.68.1.31