On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations
Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, vol.18, no.3, pp.203-212, 2023 (TRDizin)
- Publication Type: Article / Article
- Volume: 18 Issue: 3
- Publication Date: 2023
- Doi Number: 10.29233/sdufeffd.1262031
- Journal Name: Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
- Journal Indexes: Academic Search Premier, CAB Abstracts, Veterinary Science Database, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Page Numbers: pp.203-212
- Open Archive Collection: AVESIS Open Access Collection
- Süleyman Demirel University Affiliated: Yes
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.