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Title

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)

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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

References :

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Cite this Article as :
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MLA Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. "An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗." Full Length Article, Vol. 7, No. 2, 2023 ,PP. 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
APA Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. (2023). An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Full Length Article, 7 ( 2 ), 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
Chicago Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. "An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗." Journal of Full Length Article, 7 no. 2 (2023): 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
Harvard Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. (2023). An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Full Length Article, 7 ( 2 ), 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
Vancouver Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗. Journal of Full Length Article, (2023); 7 ( 2 ): 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
IEEE Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali, An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗, Journal of Full Length Article, Vol. 7 , No. 2 , (2023) : 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201)
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