Research ArticleOpen AccessGoogle Scholar indexed
On Exact Determination of Eigen Vectors
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 05 (2015)·Pages 46–53·Published 9 June 2015·DOI10.4236/alamt.2015.52005
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Abstract
In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a vector. This process does not even require matrix inversion.
KeywordsCharacteristic EquationMinimal PolynomiaEigen ValuesEigen VectorsVander Monde MatricesJordan Reduction
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