International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 926217, 8 pages
Research Article

k-Kernel Symmetric Matrices

Department of Mathematics, Karpagam College of Engineering, Coimbatore 641032, India

Received 30 March 2009; Accepted 21 August 2009

Academic Editor: Howard Bell

Copyright © 2009 A. R. Meenakshi and D. Jaya Shree. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper we present equivalent characterizations of k-Kernel symmetric Matrices. Necessary and sufficient conditions are determined for a matrix to be k-Kernel Symmetric. We give some basic results of kernel symmetric matrices. It is shown that k-symmetric implies k-Kernel symmetric but the converse need not be true. We derive some basic properties of k-Kernel symmetric fuzzy matrices. We obtain k-similar and scalar product of a fuzzy matrix.