Abstract
In this article, we construct new explicit formulas for the Drazin inverse of $$P+Q$$ under some conditions, where P and Q are singular square matrices over skew fields. These formulas generalize some recent results in literature. By using these formulas, we establish new results for the Drazin inverse of $$2\times 2$$ block matrix under some assumptions over skew fields. Finally, illustrative numerical examples over skew fields are presented to demonstrate results of this paper.
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