SUFFICIENT CONDITION FOR A MATRIX TO BE DIAGONALIZABLE
Main Article Content
Abstract
In this paper, a sufficient condition for a matrix to be diagonalizable, in the terms of Adjoint is determined and rank of Adjoint of a Matrix  is either 0 or 1 according as λ is repeated or non-repeated Eigen value of Symmetric matrix A. A counter example for a non- diagonalizable matrix is also provided.
Mathematics Subject Classification: Primary 05C50
Keywords: - Matrix; Adjoint; Eigen values; diagonalizable matrixDownloads
Article Details
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal
References
Bernard Kolman, David R. Hill, Introductory Linear Algebra, An Applied First Course Pearson Education, 2005
J. M. Ortega, Matrix Theory, A Second Course, New York: Plenum press 1987
K. Hoffman and R. Kunze, Linear Algebra, 2nd ed., Prentice Hall 1971
D.R. Hill, Experiments in computational Matrix Algebra, Random House 1988