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ISSN Print: 2394-7500, ISSN Online: 2394-5869, CODEN: IJARPF

Impact Factor: RJIF 8.4

International Journal of Applied Research

Vol. 1, Issue 12, Part D (2015)

Commutative matrices, Eigen values, and graphs of higher order matrices preserving Libra value

Author(s)
Dipti Prajapati, Sweta Shah, Pradeep. J. Jha
Abstract
In this paper we put forward a class of square matrices having both, the row sum and the column sum for each row and column remaining constant and same; we call this constant as Libra value. Any two member matrices of this infinite sub-class show commutative property for multiplication. In addition to this, these matrices along with their inverses exhibit stringent property in context to Eigen values and Eigen vectors. We have also shown symmetric matrices which follow some additional properties.
Pages: 246-256  |  634 Views  15 Downloads
How to cite this article:
Dipti Prajapati, Sweta Shah, Pradeep. J. Jha. Commutative matrices, Eigen values, and graphs of higher order matrices preserving Libra value. International Journal of Applied Research. 2015; 1(12): 246-256.
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