Geodesic
Cramer's rule for quaternionic systems of linear equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 4, pp. 67-94.

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New definitions of determinant functionals over the quaternion skew field are given in this paper. The inverse matrix over the quaternion skew field is represented by analogues of the classical adjoint matrix. Cramer's rules for right and left quaternionic systems of linear equations have been obtained. 
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I. I. Kirchei. Cramer's rule for quaternionic systems of linear equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 4, pp. 67-94. http://geodesic.mathdoc.fr/item/FPM_2007_13_4_a3/

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