After calculating the determinant of a square matrix and giving the necessary and sufficient conditions for a square matrix to be invertible, the solution conditions of the systems of equations with the number of unknowns equal to the number of equations were examined.
📌 3 Key Takeaways
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Objective & Hypothesis:We started this work with a theorem that shows in which case the abbreviation rule for neutrosophic real numbers is true.
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Key Findings & Data:We then detail in which cases the division of two neutrosophic real numbers yields a new neutrosophic number.
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Conclusion & Impact:After calculating the determinant of a square matrix and giving the necessary and sufficient conditions for a square matrix to be invertible, the solution conditions of the systems of equations with the number of unknowns equal to the number of equations were examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:neutrosophic matrices · neutrosophic systems of linear equations · determinant of a neutrosophic square matrix
Abstract
We started this work with a theorem that shows in which case the abbreviation rule for neutrosophic real numbers is true. We then detail in which cases the division of two neutrosophic real numbers yields a new neutrosophic number. Then, the solution cases of a neutrosophic linear equation with one unknown were examined. After calculating the determinant of a square matrix and giving the necessary and sufficient conditions for a square matrix to be invertible, the solution conditions of the systems of equations with the number of unknowns equal to the number of equations were examined.
Çeven, Y., Sekmen, A. İ. (2023). On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Volume: 18 Issue: 3. https://doi.org/10.29233/sdufeffd.1262031
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