On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Yilmaz Çeven

Makale detayları

On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Yazarlar:

Yilmaz Çeven

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.18 Issue 3, pp.203-212

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001304035

pISSN:

1306-7575

Anahtar kelimeler:

Özet:

 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.

 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.

 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.

 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.

Makale detayları

On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Yazarlar:

Yilmaz Çeven

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.18 Issue 3, pp.203-212

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001304035

pISSN:

1306-7575

neutrosophic matrices

neutrosophic systems of linear equations

determinant of a neutrosophic square matrix

inverse of neutrosophic square matrix

Sayı

Makale detayları

On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Yazarlar: Yilmaz Çeven

Yayıncı: Süleyman Demirel University

Ana Başlıklar: Mathematical Sciences

Dergi: Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.18 Issue 3, pp.203-212

Belge Tipi: Makale

Yayın Tarihi: 11/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001304035

pISSN: 1306-7575

neutrosophic matrices

neutrosophic systems of linear equations

determinant of a neutrosophic square matrix

inverse of neutrosophic square matrix

Sayı

Yazarlar:

Yilmaz Çeven

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.18 Issue 3, pp.203-212

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001304035

pISSN:

1306-7575