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Ninety-Six Distinct Real Matrices for Representing a Quaternion Number

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In this paper, we investigate on the number of all possible real matrices representing a quaternion number as three skew-symmetric matrices plus the identity matrix of order 4, and how… Click to show full abstract

In this paper, we investigate on the number of all possible real matrices representing a quaternion number as three 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.

Keywords: representing quaternion; quaternion number; real matrices; number; matrices representing; distinct real

Journal Title: Journal of Mathematics
Year Published: 2020

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