Within the framework of the theory of quaternion column–row determinants and using determinantal representations of the Moore–Penrose inverse previously obtained by the author, we get explicit determinantal representation formulas of solutions (analogs of Cramer’s rule) to the systems of quaternion matrix equations $$ \mathbf{A}_{1}{} \mathbf{X}=\mathbf{C}_{1}$$ A 1 X = C 1 , $$ \mathbf{X}\mathbf{B}_{2}=\mathbf{C}_{2} $$ X B 2 = C 2 , and $$ \mathbf{A}_{1}{} \mathbf{X}=\mathbf{C}_{1}$$ A 1 X = C 1 , $$\mathbf{A}_{2} \mathbf{X}=\mathbf{C}_{2} $$ A 2 X = C 2 .
Advances in Applied Clifford Algebras – Springer Journals
Published: Feb 23, 2018
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