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Two Eigenvector Theorems
Department of Mathematics, Osmania University, Hyderabad, India
Department of Statistics, Osmania University, Hyderabad, India
- 1 Department of Mathematics, Osmania University, Hyderabad, India
- 2 Department of Statistics, Osmania University, Hyderabad, India
Advances in Linear Algebra & Matrix Theory·Volume 06 (2016)·Pages 11–16·Published 7 March 2016·DOI10.4236/alamt.2016.61002
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Abstract
In this paper, we established a connection between a square matrix “ A ” of order “n” and a matrix defined through a new approach of the recursion relation . (where is any column matrix with n real elements). Now the new matrix gives us a characteristic equation of matrix A and we can find the exact determination of Eigenvalues and its Eigenvectors of the matrix A. This new approach was invented by using Two eigenvector theorems along with some examples. In the subsequent paper we apply this approach by considering some examples on this invention.
KeywordsCharacteristic EquationMinimal PolynomialEigenvaluesEigenvectorsVander Monde MatrixJacobi Block Matrix
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