Rank Of bicomplex matrices and system of algebraic equations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913845174337536 |
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| author | Amita, Amita Prakash, Akhil Wagh, Mamta Amol Kumar, Suman |
| author_facet | Amita, Amita Prakash, Akhil Wagh, Mamta Amol Kumar, Suman |
| contents | In this paper, we study the rank of matrices of bicomplex numbers. The relationship between rank, idempotent column rank and idempotent row rank is examined. Then, the solution of a system of equations in bicomplex space is presented using a new technique. Moreover, we establish a necessary and sufficient condition for the existence of solutions of a system of equations in bicomplex space and derive some related results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rank Of bicomplex matrices and system of algebraic equations Amita, Amita Prakash, Akhil Wagh, Mamta Amol Kumar, Suman Rings and Algebras 15A03, 15A04, 15A24, 15A30 (Primary) 30G35 (Secondary) In this paper, we study the rank of matrices of bicomplex numbers. The relationship between rank, idempotent column rank and idempotent row rank is examined. Then, the solution of a system of equations in bicomplex space is presented using a new technique. Moreover, we establish a necessary and sufficient condition for the existence of solutions of a system of equations in bicomplex space and derive some related results. |
| title | Rank Of bicomplex matrices and system of algebraic equations |
| topic | Rings and Algebras 15A03, 15A04, 15A24, 15A30 (Primary) 30G35 (Secondary) |
| url | https://arxiv.org/abs/2505.12295 |