Definition of Determinant and Cramer Solutions over the Quaternion Field

Authors
Longxuan, Chen
Citation
Longxuan, Chen, Definition of Determinant and Cramer Solutions over the Quaternion Field, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 7(2), 1991, pp. 171-180
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
7
Issue
2
Year of publication
1991
Pages
171 - 180
Database
ACNP
SICI code
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.