Theoretical analysis demonstrates new formulations and algebraic theorems for the Fan product in dual matrices, suggesting novel structural properties for dual matrix systems.
This paper first presents the background of dual numbers and dual matrices under the Fan product by using the concept and properties of the Fan product, and then it defines some new special matrices under the Fan product. Further, this paper defines dual matrices under the Fan product. Also, some new results of the Fan product of these dual matrices have been derived. Finally, some theorems regarding the Fan product have been derived.
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Leena Sharma (2024) studied this question.
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