Correspondence between Row-Column Determinants and Quasideterminants of   Matrices over Quaternion Algebra
  In this paper, we considered the theory of quasideterminants and row and column determinants. We considered the application of this theory to the solving of a system of linear equations in quaternion algebra. We established correspondence between row and column determinants and quasideterminants of matrix over quaternion algebra. 
Aleks Kleyn, Ivan Kyrchei
math.RA