The Determinant of Cubic-Matrix of order 2 and order 3: Some basic Properties and Algorithms
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866908603807432704 |
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| author | Salihu, Armend Zaka, Orgest |
| author_facet | Salihu, Armend Zaka, Orgest |
| contents | 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 analyzed 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_13336 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Determinant of Cubic-Matrix of order 2 and order 3: Some basic Properties and Algorithms Salihu, Armend Zaka, Orgest General Mathematics 15-XX, 15Axx, 15A15, 11Cxx, 65Fxx, 11C20, 65F40 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 analyzed 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. |
| title | The Determinant of Cubic-Matrix of order 2 and order 3: Some basic Properties and Algorithms |
| topic | General Mathematics 15-XX, 15Axx, 15A15, 11Cxx, 65Fxx, 11C20, 65F40 |
| url | https://arxiv.org/abs/2306.13336 |