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International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 59-71 , 2022 | Cite this article as | XML | Html |PDF

Title

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 :

[1] Olgun, N., Hatip, A., Bal, M., and Abobala, M.,  A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices, International Journal of Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

 [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 Matrices, International 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 :
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MLA Malath F. Alaswa. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." International Journal of Neutrosophic Science, Vol. 18, No. 3, 2022 ,PP. 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)
APA Malath F. Alaswa. (2022). On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)
Chicago Malath F. Alaswa. "On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem." Journal of International Journal of Neutrosophic Science, 18 no. 3 (2022): 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)
Harvard Malath F. Alaswa. (2022). On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)
Vancouver Malath F. Alaswa. On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 3 ): 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)
IEEE Malath F. Alaswa, On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)