On Exact Determination of Eigen Vectors

Raghuram Prasad Dasaradhi; V. V. Haragopal

doi:10.4236/alamt.2015.52005

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On Exact Determination of Eigen Vectors

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DOI: 10.4236/alamt.2015.52005 3,802 Downloads 4,521 Views Citations

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Raghuram Prasad Dasaradhi^1*, V. V. Haragopal²

Affiliation(s)

¹Department of Mathematics, Osmania University, Hyderabad, India.
²Department of Statistics, Osmania University, Hyderabad, India.

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.

KEYWORDS

Characteristic Equation, Minimal Polynomia, Eigen Values, Eigen Vectors, Vander Monde Matrices, Jordan Reduction

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Dasaradhi, R. and Haragopal, V. (2015) On Exact Determination of Eigen Vectors. Advances in Linear Algebra & Matrix Theory, 5, 46-53. doi: 10.4236/alamt.2015.52005.

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