Classification of Matrices on the Basis of Special Characteristics

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-19 Number-2
Year of Publication : 2015
Authors : Sweta Shah, Dipti P. Prajapati, Vaishali A Achesariya, Dr.Pradeep.J.Jha
  10.14445/22315373/IJMTT-V19P512

MLA

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). V19(2):91-101 March 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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

Keywords
Class, Libra Value, Class Shift, Zero Class