Results 11 to 20 of about 2,174,992 (257)

CRAMER’S RULE IN MIN-PLUS ALGEBRA

Barekeng
Cramer’s rule is one of a method for solving a system of linear equations in conventional algebra. The system of linear equation  can be solved using Cramer’s rule if .
Zakia Nur Ramadhani Putri, Siswanto Siswanto, Vika Yugi Kurniawan   +2 more
doaj   +3 more sources

Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule [PDF]

Neutrosophic Sets and Systems, 2023
In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer’s rule was applied to solve the system of symbolic 2-plithogenic linear equations.
P. Prabakaran, Florentin Smarandache
doaj   +2 more sources

On application of Cramer’s rule

Lietuvos Matematikos Rinkinys, 2011
The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
doaj   +2 more sources

Cramer's rule for implicit linear differential equations over a non-Archimedean ring

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
doaj   +2 more sources

On Quasilinear Algebra of Linear Interval Equations and Interval Cramer’s Rule

Mathematics
Determining the solution set of a system of linear interval equations is often a difficult task. Establishing a general theory that includes the classical theory of systems of linear equations as a special case opens the door to extensive and challenging
Yılmaz Yılmaz
doaj   +2 more sources

CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

Barekeng
A min-plus algebra is a set ,  where  is the set of all real numbers, equipped with the minimum  and addition  operations. The system of linear equations  in min-plus algebra can be solved using Cramer's rule.
Siswanto Siswanto, Ade Safira Septiany
doaj   +2 more sources

Pre-service mathematics teachers’ mental constructions when using Cramer’s rule

South African Journal of Education, 2019
This study explored the mental constructions displayed by pre-service mathematics teachers (PMTs) when applying Cramer’s rule. The aim was to reveal the character of mental constructions made around the nature of the solution set of equations and the ...
Zanele Ndlovu, Deonarain Brijlall
doaj   +2 more sources

Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations

Demonstratio Mathematica
In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
doaj   +2 more sources

The Cost of Cramer's Rule

Maple Transactions
Cramer's Rule is a well known result giving the solutions of the matrix equation Ax=b for nonsingular matrices A. This rule is quite popular with students since it gives a concise concrete expression and a deterministic method for solving systems of equations. We consider the often overlooked "cost" of calculating solutions using Cramer's Rule.
William C. Bauldry
openaire   +2 more sources

Reduced Cramer's rule

International Journal of Algebra, 2023
In this work, starting from the generalized cross ...
E. Salinas-Hernandez, M. Abel Leon-Hernandez, Cesar R. Martinez-Garcia, Jesus A. Martinez-Nuno   +3 more
openaire   +2 more sources