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Within the framework of the theory of the column and row determinants, weobtain new determinantal representations of the W-weighted Drazin inverse overthe quaternion skew field. We give determinantal representations of theW-weighted Drazin inverse by using previously introduced determinantalrepresentations of the Drazin inverse, the Moore-Penrose inverse, and the limitrepresentations of the W-weighted Drazin inverse in some special case.

New determinantal representations of the W-weighted Drazin inverse over the quaternion skew field