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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 18Issue 3PP: 59-71 • 2022

On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem

Malath F. Alaswa 1*
1Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria
* Corresponding Author.
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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 [2] M. Abobala. On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[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. 

[5]  Smarandache, F., Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets, Inter. J. Pure Appl. Math., pp. 287-297, 2005.

[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.

[7] Khaled, H., and Younus, A., and Mohammad, A.,  The Rectangle Neutrosophic Fuzzy Matrices, Faculty of Education Journal Vol. 15, 2019. (Arabic version).

 [8] Thomas, M. G.,  Convergence of Powers of a Fuzzy Matrix, J. Math. Annal. Appl. 57 , pp. 476-480, 1977.

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

[10]W. B. V. Kandasamy and F. Smarandache, Fuzzy Relational Maps and Neutrosophic Relational Maps, HEXIS Church Rock,p 302.

[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

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Alaswa, Malath F.. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, M. (2022). On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science, Volume 18(Issue 3), 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, Malath F.. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa, M. (2022) 'On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 59-71. DOI: https://doi.org/10.54216/IJNS.180305
Alaswa M. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):59-71. DOI: https://doi.org/10.54216/IJNS.180305
M. Alaswa, "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 59-71, 2022. DOI: https://doi.org/10.54216/IJNS.180305
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