# Properties of the determinant of a rectangular matrix

Anna Makarewicz; Piotr Pikuta; Dominik Szałkowski

Annales UMCS, Mathematica (2014)

- Volume: 68, Issue: 1, page 31-41
- ISSN: 2083-7402

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topAnna Makarewicz, Piotr Pikuta, and Dominik Szałkowski. "Properties of the determinant of a rectangular matrix." Annales UMCS, Mathematica 68.1 (2014): 31-41. <http://eudml.org/doc/266996>.

@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 UMCS, Mathematica},

keywords = {Determinant of rectangular matrix; Radić’s determinant; determinant of rectangular matrix},

language = {eng},

number = {1},

pages = {31-41},

title = {Properties of the determinant of a rectangular matrix},

url = {http://eudml.org/doc/266996},

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 UMCS, Mathematica

PY - 2014

VL - 68

IS - 1

SP - 31

EP - 41

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

KW - Determinant of rectangular matrix; Radić’s determinant; determinant of rectangular matrix

UR - http://eudml.org/doc/266996

ER -

## References

top- [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. Zbl1248.15006
- [2] Radić, M., A definition of determinant of rectangular matrix, Glas. Mat. Ser. III 1(21) (1966), 17-22. Zbl0168.02703
- [3] Radić, M., About a determinant of rectangular 2 × n matrix and its geometric interpretation, Beitr¨age Algebra Geom. 46, no. 2 (2005), 321-349.
- [4] Radić, M., Areas of certain polygons in connection with determinants of rectangular matrices, Beitr¨age Algebra Geom. 49, no. 1 (2008), 71-96.
- [5] Radić, M., Certain equalities and inequalities concerning polygons in R2, Beitr¨age Algebra Geom. 50, no. 1 (2009), 235-248.
- [6] Radić, M., Suˇsanj, R., Geometrical meaning of one generalization of the determinant of a square matrix, Glas. Mat. Ser. III 29(49), no. 2 (1994), 217-233. Zbl0828.15005

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