On the matrix algebra of elliptic biquaternions |
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Authors: | Kahraman Esen Özen Murat Tosun |
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Affiliation: | Department of Mathematics, Sakarya University, Sakarya, Turkey |
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Abstract: | In this study, we introduce the concept of elliptic biquaternion matrices. Firstly, we obtain elliptic matrix representations of elliptic biquaternion matrices and establish a universal similarity factorization equality for elliptic biquaternion matrices. Afterwards, with the aid of these representations and this equality, we obtain various results on some basic topics such as generalized inverses, eigenvalues and eigenvectors, determinants, and similarity of elliptic biquaternion matrices. These valuable results may be useful for developing a perfect theory on matrix analysis over elliptic biquaternion algebra in the future. |
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Keywords: | determinants eigenvalues and eigenvectors generalized inverses matrices of elliptic biquaternions similarity |
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