On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Authors : Yilmaz Çeven, Ali Ihsan Sekmen

Pages : 203-212

Doi:10.29233/sdufeffd.1262031

View : 106 | Download : 265

Publication Date : 2023-11-23

Article Type : Research Paper

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.
Keywords : neutrosophic matrices, neutrosophic systems of linear equations, determinant of a neutrosophic square matrix, inverse of neutrosophic square matrix