The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms

Armend Salihu; Orgest Zaka

doi:10.55549/epstem.1605538

Conference Paper

The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms

Year 2024, Volume: 32, 488 - 514, 30.12.2024

Armend Salihu Orgest Zaka

https://doi.org/10.55549/epstem.1605538

Abstract

Based on geometric intuition, in this paper we are trying to give an idea and visualize the meaning of the determinants for the cubic-matrix. In this paper we have analysed the possibilities of developing the concept of determinant of matrices with three indexed 3D Matrices. We define the concept of determinant for cubic-matrix of order 2 and order 3, study and prove some basic properties for calculations of determinants of cubic-matrix of order 2 and 3. Furthermore we have also tested several square determinant properties and noted that these properties also are applicable on this concept of 3D Determinants.

Keywords

3D determinants , Determinant properties , Computer algorithm , Time complexity.

References

Salihu, A., & Zaka, O. (2024). The determinant of cubic-matrix of order 2 and order 3, some basic properties and algorithms. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 32, 488-514.

Year 2024, Volume: 32, 488 - 514, 30.12.2024

Armend Salihu Orgest Zaka

https://doi.org/10.55549/epstem.1605538

Abstract

References

Salihu, A., & Zaka, O. (2024). The determinant of cubic-matrix of order 2 and order 3, some basic properties and algorithms. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 32, 488-514.

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Details

Primary Language	English
Subjects	Statistics (Other)
Journal Section	Articles
Authors	Armend Salihu Orgest Zaka
Early Pub Date	December 22, 2024
Publication Date	December 30, 2024
Submission Date	May 24, 2024
Acceptance Date	July 18, 2024
Published in Issue	Year 2024 Volume: 32

Cite

APA	Salihu, A., & Zaka, O. (2024). The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 32, 488-514. https://doi.org/10.55549/epstem.1605538

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