Generalized Method to Find the Generators of Matrix Algebras when its Dimension 2 and 3


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Authors

  • Ram Milan Singh Department of mathematics, Govt. P. G. College, Tikamgarh, Madhya Pradesh, India

Keywords:

Generator, Matrix, Common left eigen vector, Sub Algebra

Abstract

Let A be an algebraically closed field of characteristic zero and consider a set of $2 \times 2$ or $3 \times 3$ matrices. Using a theorem of Shemesh, we give conditions for when the matrices in the set generate the full matrix algebra.

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Published

15-03-2020

How to Cite

Ram Milan Singh. (2020). Generalized Method to Find the Generators of Matrix Algebras when its Dimension 2 and 3. International Journal of Mathematics And Its Applications, 8(1), 101–105. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/180

Issue

Vol. 8 No. 1 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.