USE DIAGONALIZATION TO RAISE O MATRIX TO A HIGH POWER

https://doi.org/10.5281/zenodo.17263731

Authors

  • Meliyeva M. Students of Jizzakh branch of National university of Uzbekistan Author
  • Ergashev F. Students of Jizzakh branch of National university of Uzbekistan Author

Keywords:

Matrix, diagonalization, eigenvalues, eigenvectors, matrix power, linear algebra

Abstract

This thesis discusses the method of using diagonalization to raise a matrix to a high power. Diagonalization provides an efficient way to simplify complex computations, especially for large matrices. The process of powering a diagonal matrix and reconstructing the original matrix is explained. Practical examples are presented to demonstrate the advantages of the method.

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References

Gilbert Strang. Linear Algebra and Its Applications. 5th Edition. Brooks/Cole, 2016.

David C. Lay, Steven R. Lay, Judi J. McDonald. Linear Algebra and Its Applications. Pearson, 2015.

Serge Lang. Linear Algebra. Springer, 2004.

Sheldon Axler. Linear Algebra Done Right. Springer, 2015.

Howard Anton, Chris Rorres. Elementary Linear Algebra with Applications. Wiley, 2010.

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Published

2025-09-27

Conference Proceedings Volume

Vol. 1 No. 3 (2025): Kompyuter ilmlari va muhandislik texnologiyalari. Xalqaro ilmiy-texnik anjuman 2-qism

Section

SECTION 2.

License

Creative Commons License

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

How to Cite

Meliyeva , M., & Ergashev , F. (2025). USE DIAGONALIZATION TO RAISE O MATRIX TO A HIGH POWER: https://doi.org/10.5281/zenodo.17263731. International Scientific and Practical Conference, 1(3), 107-109. https://bestjournalup.com/index.php/ispc/article/view/2133