On Exact Determination of Eigen Vectors

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

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

DOI: 10.4236/alamt.2015.52005                

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.

References

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