Abstract
A new definition of determinant over the quaternion field is given in this paper Cramer solutions of right (or left) linear equations and the condition of existence of inverse square matrices are obtained from the definition.
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Longxuan, C. Definition of determinant and cramer solutions over the quaternion field. Acta Mathematica Sinica 7, 171–180 (1991). https://doi.org/10.1007/BF02633946
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DOI: https://doi.org/10.1007/BF02633946