On Exact Determination of Eigen Vectors

Raghuram Prasad Dasaradhi; V. V. Haragopal

doi:10.4236/alamt.2015.52005

Home > Journals > Physics & Mathematics > ALAMT

Advances in Linear Algebra & Matrix Theo... > Vol.5 No.2, June 2015

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 PDF HTML XML 4,221 Downloads 4,932 Views Citations

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

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Datta, K.B. (1991) Matrix and Linear Algebra. Prentice-Hall of India Private Limited, New Delhi,.
[2]	Curtis, C.W. (1984) Linear Algebra an Introductory Approach. Springer-Verlag, New York.
[3]	Proskuryakov, I.V. (1978) Problems in Linear Algebra. Mir Publishers, Moscow.
[4]	Bellman, R. (1970) Introduction to Matrix Analysis. 2nd Edition, Tata Mcgraw-Hill Publishing Company Ltd., New Delhi.
[5]	Cullen, C.G. (1990) Matrices and Linear Transformations. 2nd Edition, Dover Publications, New York.
[6]	Horn, R.A. and Johnson, C.R. (1991) Topics in Matrix Analysis. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511840371