ERIC Number: EJ875486
Record Type: Journal
Publication Date: 2005
Abstractor: As Provided
Reference Count: 0
Cramer's Rule Revisited
Ayoub, Ayoub B.
AMATYC Review, v27 n1 p22-24 Fall 2005
In 1750, the Swiss mathematician Gabriel Cramer published a well-written algebra book entitled "Introduction a l'Analyse des Lignes Courbes Algebriques." In the appendix to this book, Cramer gave, without proof, the rule named after him for solving a linear system of equations using determinants (Kosinki, 2001). Since then several derivations of this rule have appeared (Chadha, 1996; Larson et al., 2004; Shirm & Adams, 2002). In this article, the author will introduce another proof of Cramer's rule based on the expansion in cofactors of a determinant.
Descriptors: Mathematics Instruction, College Mathematics, Community Colleges, Mathematical Concepts, History, Algebra, Problem Solving, Equations (Mathematics), Mathematical Logic, Validity
American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: firstname.lastname@example.org; Web site: http://www.amatyc.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Postsecondary Education; Two Year Colleges
Authoring Institution: N/A