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In this paper, the elementary transformation is discussed for split quaternion matrices and the upper triangulation process is given. Then two new determinants are defined by means of real and… Click to show full abstract
In this paper, the elementary transformation is discussed for split quaternion matrices and the upper triangulation process is given. Then two new determinants are defined by means of real and complex representation matrices and the sufficient condition for the existence of LU decomposition is obtained. Finally, the inverse of the split quaternion matrix is studied and its existence condition and computation method are given.
Keywords:
quaternion;
split quaternion;
elementary transformation;
transformation applications;
quaternion matrices
Journal Title: Advances in Applied Clifford Algebras
Year Published: 2019
Link to full text (if available)
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Journal Title: Advances in Applied Clifford Algebras
Year Published: 2019
Link to full text (if available)
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recommendations!