Ninety-Six Distinct Real Matrices for Representing a Quaternion Number

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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Veröffentlicht in:Journal of mathematics (Hidawi) 2020, Vol.2020 (2020), p.1-10
1. Verfasser: Ahmed, W. E.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Mathematical analysis
Mathematics
Matrix methods
Quaternions
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Zusammenfassung: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/2412491