Journal of Applied and Pure Mathematics

  • 제6권3_4호
  • /
  • Pages.167-176
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  • 2024
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  • 2671-4000(pISSN)
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  • 2636-1612(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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MULTIPLICATION (${\underleftarrow{AB}}$) AND DIVISION OF MATRICES

  • HASAN KELES (Department of Mathematics, Karadeniz Technical University)
  • 투고 : 2024.04.19
  • 심사 : 2024.06.28
  • 발행 : 2024.07.30
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초록

This study is about division and right multiplication in matrices. The discussion of the properties of multiplication and division is examined. Some results between multiplication based on the row-column relationship and division based on the same relationship are discussed. The commonalities of these results between the processes are emphasized. Examples of unrealized properties are given. The algebraic properties of the newly defined right product and division are clarified in matrices. The properties of the known multiplication operation and new situations between right multiplication and division are investigated. Some results are declared between the transpositions of matrices and the obtained rules of operations. New results are discussed belong the equations ${\underleftarrow{XA}}=B$ and ${\underleftarrow{AX}}=B$. New ideas are proposed for solving these equations. The contribution The contribution is explained the equation $AB={\underleftarrow{BA}}$ to division operation. Many new properties, lemmas and theorems are presented on this subject.

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과제정보

I would like to thank the editors and reviewers of the journal for their support in the publication of this article.

참고문헌

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