International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 18 , Issue 3 , PP: 59-71, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem

Malath F. Alaswa 1 *

  • 1 Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria - (Malaz.aswad@yahoo.com; Malaz.aswad@yahoo.com)
  • Doi: https://doi.org/10.54216/IJNS.180305

    Received: January 21, 2022 Accepted: April 13, 2022
    Abstract

    The objective of this paper is to study some novel algebraic properties of neutrosophic matrices. Also, this work introduces the concept of neutrosophic characteristic polynomial of a square neutrosophic matrix and the neutrosophic version of Cayley-Hamilton.On the other hand, we illustrate many examples about the validity of this work.

    Keywords :

    Neutrosophic matrix , neutrosophic Real number , neutrosophic determinant , neutrosophic inverse

    References

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    [3] Dhar, M., Broumi, S., and, Smarandache F., A Note on Square Neutrosophic Fuzzy Matrices, Neutrosophic Sets and Systems'', Vol. 3, pp. 37-41 2014.

    [4] Smarandache, F., Introduction to Neutrosophic Statistics, USA: Sitech & Education Publishing, 2014. 

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    [6]  Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed in the United States of America,2007, book, 99 pages.

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    [9] W. B. Vasantha Kandasamy Florentin Smarandache K. Ilanthenral, INTRODUCTION TO BIMATRICES, HEXIS, 2005.

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    [11] Abobala, M., On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations, Mathematical Problems in Engineering, Hindawi, 2021

    [12] Abobala, M., Bal, M., and Hatip, A., A Review On Recent Advantages In Algebraic Theory Of Neutrosophic MatricesInternational Journal of Neutrosophic Science, Vol. 17, 2021.

    [13] Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations, Journal of Mathematics, Hindawi, 2021. 

    [14] Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., The algebraic creativity In The Neutrosophic Square Matrices, Neutrosophic Sets and Systems, Vol. 40, pp. 1-11, 2021.

    [15] F .Smarandache.; Introduction  to Neutrosophic statistics, Sitech-Education Publisher, PP:34-44. (2014).

     

    Cite This Article As :
    F., Malath. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science, vol. , no. , 2022, pp. 59-71. DOI: https://doi.org/10.54216/IJNS.180305
    F., M. (2022). On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science, (), 59-71. DOI: https://doi.org/10.54216/IJNS.180305
    F., Malath. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science , no. (2022): 59-71. DOI: https://doi.org/10.54216/IJNS.180305
    F., M. (2022) . On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science , () , 59-71 . DOI: https://doi.org/10.54216/IJNS.180305
    F. M. [2022]. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science. (): 59-71. DOI: https://doi.org/10.54216/IJNS.180305
    F., M. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem," International Journal of Neutrosophic Science, vol. , no. , pp. 59-71, 2022. DOI: https://doi.org/10.54216/IJNS.180305