Ninety-Six Distinct Real Matrices for Representing a Quaternion Number
In this paper, we investigate on the number of all possible real matrices representing a quaternion number as three 4×4 skew-symmetric matrices plus the identity matrix of order 4, and how to determine these matrices. We establish that there are 96 distinct real matrices having this property, and by...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2412491 |
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| _version_ | 1832563397209620480 |
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| author | W. E. Ahmed |
| author_facet | W. E. Ahmed |
| author_sort | W. E. Ahmed |
| collection | DOAJ |
| description | In this paper, we investigate on the number of all possible real matrices representing a quaternion number as three 4×4 skew-symmetric matrices plus the identity matrix of order 4, and how to determine these matrices. We establish that there are 96 distinct real matrices having this property, and by matrix row operations, we obtain these matrices. |
| format | Article |
| id | doaj-art-fb1a5ed33ecb4688ab05ecb5caa2de20 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fb1a5ed33ecb4688ab05ecb5caa2de202025-02-03T01:20:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/24124912412491Ninety-Six Distinct Real Matrices for Representing a Quaternion NumberW. E. Ahmed0Mathematics and Statistics Department, Faculty of Science, Imam Mohammad IBN Saud Islamic University, Riyadh, Saudi ArabiaIn this paper, we investigate on the number of all possible real matrices representing a quaternion number as three 4×4 skew-symmetric matrices plus the identity matrix of order 4, and how to determine these matrices. We establish that there are 96 distinct real matrices having this property, and by matrix row operations, we obtain these matrices.http://dx.doi.org/10.1155/2020/2412491 |
| spellingShingle | W. E. Ahmed Ninety-Six Distinct Real Matrices for Representing a Quaternion Number Journal of Mathematics |
| title | Ninety-Six Distinct Real Matrices for Representing a Quaternion Number |
| title_full | Ninety-Six Distinct Real Matrices for Representing a Quaternion Number |
| title_fullStr | Ninety-Six Distinct Real Matrices for Representing a Quaternion Number |
| title_full_unstemmed | Ninety-Six Distinct Real Matrices for Representing a Quaternion Number |
| title_short | Ninety-Six Distinct Real Matrices for Representing a Quaternion Number |
| title_sort | ninety six distinct real matrices for representing a quaternion number |
| url | http://dx.doi.org/10.1155/2020/2412491 |
| work_keys_str_mv | AT weahmed ninetysixdistinctrealmatricesforrepresentingaquaternionnumber |