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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 23 • Issue 3 • PP: 63-76 • 2024

A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties

Javier Gamboa-Cruzado 1*
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,
Renatto Oyague Guerra 2
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,
Enrique Condor Tinoco 3
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,
Guillermo Paucar-Carlos 4
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,
Juan Gamarra Moreno 5
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,
Warshine Barry 6
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1Universidad Nacional Federico Villareal, Lima, Perú; Universidad Nacional Mayor de San Marcos, Lima, Perú
2Universidad Nacional Federico Villareal, Lima, Perú
3Universidad Nacional José María Arguedas, Andahuaylas, Perú
4Universidad Nacional de San Antonio Abad del Cusco, Cuzco, Perú
5Universidad Nacional Mayor de San Marcos, Lima, Perú
6University of Debrecen, Department of Mathematical and Computational Science, Debrecen, Hungary
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.230306
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: August 17, 2023 Revised: November 26, 2023 Accepted: January 27, 2024
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Abstract

This paper is dedicated to study the algebraic structures that are related to symbolic 16-plithogenic/17-plithogenic with symbolic plithogenic real entries, where symbolic 16-plithogenic/17-plithogenic eigenvectors and values will be discussed and presented in terms of theorems. As well as, the computation of determinants, inverses, and eigenvalues and vectors.

Keywords

symbolic 16-plithogenic matrix symbolic 16-plithogenic eigenvalue symbolic 16- plithogenic eigenvector symbolic 17-plithogenic matrix symbolic 17-plithogenic eigenvalue symbolic 17- plithogenic eigenvector.

References

[1] Merkepci, H., and Abobala, M., " On The Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

[2] Smarandache, F., " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)", Neutrosophic Sets and Systems, vol. 53, 2023.

[3] Taffach, N., and Ben Othman, K., " An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings", Neutrosophic Sets and Systems, Vol 54, 2023.

[4] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 2023.

 [5] Ben Othman, K., "On Some Algorithms For Solving Symbolic 3-Plithogenic Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

[6] Rawashdeh, A., "An Introduction To The Symbolic 3-plithogenic Number Theory", Neoma Journal Of Mathematics and Computer Science, 2023.

[7] Alfahal, A.; Alhasan, Y.; Abdulfatah, R.; Mehmood, A.; Kadhim, M. On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. Int. J. Neutrosophic Sci. 2023, 21.

[8] Merkepci, H., "On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices", Symmetry, MDPI, 2023.

[9] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Algebraic Properties Of Symbolic 6-Plithogenic Integers", Neutrosophic Sets and Systems, vol. 59, 2023.

[10] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Concept Of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

[11] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Symbolic 8-Plithogenic Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

[12] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

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

[14] Abobala, M. On Refined Neutrosophic Matrices and Their Applications in Refined Neutrosophic Algebraic Equations. J. Math. 2021, 2021, 5531093.

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

[16] 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.

[17] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Foundations Of Symbolic 5-Plithogenic Number Theory", Neutrosophic Sets and Systems, vol. 59, 2023.

[18] Merkepci, H., and Rawashdeh, A., " On The Symbolic 2-Plithogenic Number Theory and Integers ", Neutrosophic Sets and Systems, Vol 54, 2023.

Cite This Article

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Gamboa-Cruzado, Javier, Guerra, Renatto Oyague, Tinoco, Enrique Condor, Paucar-Carlos, Guillermo, Moreno, Juan Gamarra, Barry, Warshine. "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, 2024, pp. 63-76. DOI: https://doi.org/10.54216/IJNS.230306
Gamboa-Cruzado, J., Guerra, R., Tinoco, E., Paucar-Carlos, G., Moreno, J., Barry, W. (2024). A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science, Volume 23(Issue 3), 63-76. DOI: https://doi.org/10.54216/IJNS.230306
Gamboa-Cruzado, Javier, Guerra, Renatto Oyague, Tinoco, Enrique Condor, Paucar-Carlos, Guillermo, Moreno, Juan Gamarra, Barry, Warshine. "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties." International Journal of Neutrosophic Science Volume 23, no. Issue 3 (2024): 63-76. DOI: https://doi.org/10.54216/IJNS.230306
Gamboa-Cruzado, J., Guerra, R., Tinoco, E., Paucar-Carlos, G., Moreno, J., Barry, W. (2024) 'A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties', International Journal of Neutrosophic Science, Volume 23(Issue 3), pp. 63-76. DOI: https://doi.org/10.54216/IJNS.230306
Gamboa-Cruzado J, Guerra R, Tinoco E, Paucar-Carlos G, Moreno J, Barry W. A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 3):63-76. DOI: https://doi.org/10.54216/IJNS.230306
J. Gamboa-Cruzado, R. Guerra, E. Tinoco, G. Paucar-Carlos, J. Moreno, W. Barry, "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, pp. 63-76, 2024. DOI: https://doi.org/10.54216/IJNS.230306
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