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math.RA2010
Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer's rules
Ivan Kyrchei
Determinantal representation of the Moore-Penrose inverse over the quaternion skew field is obtained within the framework of a theory of the column and row determinants. Using the…
math.RA2010★ 1 cited
Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules
Ivan Kyrchei
In this article, we introduce determinantal representations of the Moore - Penrose inverse and the Drazin inverse which are based on analogues of the classical adjoint matrix. Usin…
math.RA2010
Cramer's rule for some quaternion matrix equations
Ivan Kyrchei
Cramer's rules for some left, right and two-sided quaternion matrix equations are obtained within the framework of the theory of the column and row determinants.