Classification of Matrices on the Basis of Special Characteristics

Sweta Shah; Dipti P. Prajapati; Vaishali A Achesariya; Dr.Pradeep.J.Jha

doi:https://doi.org/10.14445/22315373/IJMTT-V19P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 2 | Year 2015 | Article Id. IJMTT-V19P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P512

Classification of Matrices on the Basis of Special Characteristics

Sweta Shah, Dipti P. Prajapati, Vaishali A Achesariya, Dr.Pradeep.J.Jha

Abstract

In this note, we classify square matrices using special characteristics in column, rows, leading and non-leading diagonal entries. All these properties may exist singly or in a group in each class of square matrices. Besides, we have established basic algebraic structure of each class and also algebraic properties between the members of different classes. Some operations change the resultant from a class while some preserves the class. The outstanding property of all such classes is its libra value property that remains in correspondence of the corresponding mathematical operation.

Keywords

Class, Libra Value, Class Shift, Zero Class

References

[1] Hazra,,A.K., matrix: Algebra,Calculus and Generalized Inverse, Viva Books Pvt. Ltd. First Indian Edition 2009.

Citation :

Sweta Shah, Dipti P. Prajapati, Vaishali A Achesariya, Dr.Pradeep.J.Jha, "Classification of Matrices on the Basis of Special Characteristics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 2, pp. 91-101, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P512