Properties of the determinant of a rectangular matrix
Anna Makarewicz; Piotr Pikuta; Dominik Szałkowski
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2014)
- Volume: 68, Issue: 1
- ISSN: 0365-1029
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topAnna Makarewicz, Piotr Pikuta, and Dominik Szałkowski. "Properties of the determinant of a rectangular matrix." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 68.1 (2014): null. <http://eudml.org/doc/289812>.
@article{AnnaMakarewicz2014,
abstract = {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.},
author = {Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
language = {eng},
number = {1},
pages = {null},
title = {Properties of the determinant of a rectangular matrix},
url = {http://eudml.org/doc/289812},
volume = {68},
year = {2014},
}
TY - JOUR
AU - Anna Makarewicz
AU - Piotr Pikuta
AU - Dominik Szałkowski
TI - Properties of the determinant of a rectangular matrix
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2014
VL - 68
IS - 1
SP - null
AB - 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.
LA - eng
UR - http://eudml.org/doc/289812
ER -
References
top- 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.
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