Peer reviewed
Direct linkERIC Number: EJ986045
Record Type: Journal
Publication Date: 2012
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
On Rank and Nullity
Dobbs, David E.
International Journal of Mathematical Education in Science and Technology, v43 n2 p271-283 2012
This note explains how Emil Artin's proof that row rank equals column rank for a matrix with entries in a field leads naturally to the formula for the nullity of a matrix and also to an algorithm for solving any system of linear equations in any number of variables. This material could be used in any course on matrix theory or linear algebra.
Descriptors: Matrices, Mathematics Instruction, Validity, Mathematical Logic, Mathematical Concepts, Problem Solving, Algebra, Equations (Mathematics), College Mathematics
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
