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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

Authors Names :   Malath F. Alaswa   1 *  

1  Affiliation :  Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria

    Email :  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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 [2] M. Abobala. On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

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

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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 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 :
Malath F. Alaswa, On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem, International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 59-71 (Doi   :  https://doi.org/10.54216/IJNS.180305)