In this study, we investigate the matrices over the new extension of the real numbers in four dimensional space E2^4
called the hybrid numbers. Since the hybrid multiplication is noncommutative, this leads to finding a linear
transformation on the complex field. Thus we characterize the hybrid matrices and examine their algebraic properties with respect to their complex adjoint matrices. Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.
Complex numbers Dual numbers Hyberbolic numbers Hybrid numbers Hypercomplex numbers Complex matrices Hybrid matrices
Primary Language | English |
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Subjects | Algebraic and Differential Geometry, Real and Complex Functions (Incl. Several Variables) |
Journal Section | Research Article |
Authors | |
Publication Date | October 15, 2023 |
Submission Date | July 24, 2023 |
Acceptance Date | October 8, 2023 |
Published in Issue | Year 2023 Volume: 6 Issue: 3-Supplement |