Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Volume 7 , Issue 2 , PP: 08-23, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗

Noor Edin Rabeh 1 * , Othman Al-Basheer 2 , Sara Sawalmeh 3 , Rozina Ali 4

  • 1 Baghdad University, College of Science, Baghdad, Iraq - (edinnoori45@gmail.com)
  • 2 Sudan University Of Science and Technology, Faculty Of Science, Khartoum, Sudan - (othmanzolbasheer@gmail.com)
  • 3 Mutah University, Faculty of Science, Mutah, Jordan - (Sarahsawalmeh98@gmail.com)
  • 4 Cairo University, Department of Mathematics, Cairo, Egypt - (rozyyy123n@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.070201

    Received: May 11, 2023 Revised: September 15, 2023 Accepted: November 10, 2023
    Abstract

    This paper is dedicated to study the algebraic properties and substructures that are related to the symbolic 18 and 19 plithogenic square matrices, where we present many different theorems and examples to clarify the computation of symbolic 18 and 19 plithogenic determinants, and finding 18-plithogenic and 19-plithogenic eigenvalues and eigenvectors. On the other hand, we provide algorithms for computing the inverses of symbolic 18-plithogenic and 19-plithogenic matrices with necessary and sufficient conditions for the orthogonality of those matrices.

    Keywords :

    symbolic 18-plithogenic matrix , symbolic 19-plithogenic matrix , eigenvalue , eigenvector , orthogonal matrix

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    Cite This Article As :
    Edin, Noor. , Al-Basheer, Othman. , Sawalmeh, Sara. , Ali, Rozina. An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2023, pp. 08-23. DOI: https://doi.org/10.54216/JNFS.070201
    Edin, N. Al-Basheer, O. Sawalmeh, S. Ali, R. (2023). An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Neutrosophic and Fuzzy Systems, (), 08-23. DOI: https://doi.org/10.54216/JNFS.070201
    Edin, Noor. Al-Basheer, Othman. Sawalmeh, Sara. Ali, Rozina. An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Neutrosophic and Fuzzy Systems , no. (2023): 08-23. DOI: https://doi.org/10.54216/JNFS.070201
    Edin, N. , Al-Basheer, O. , Sawalmeh, S. , Ali, R. (2023) . An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Neutrosophic and Fuzzy Systems , () , 08-23 . DOI: https://doi.org/10.54216/JNFS.070201
    Edin N. , Al-Basheer O. , Sawalmeh S. , Ali R. [2023]. An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Neutrosophic and Fuzzy Systems. (): 08-23. DOI: https://doi.org/10.54216/JNFS.070201
    Edin, N. Al-Basheer, O. Sawalmeh, S. Ali, R. "An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 08-23, 2023. DOI: https://doi.org/10.54216/JNFS.070201