SUFFICIENT CONDITION FOR A MATRIX TO BE DIAGONALIZABLE

Preeti Sangwal

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 matrix

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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


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