Row Rank Equals Column Rank

Row Rank Equals Column Rank

  Wardlaw presents a short proof that the row rank of a matrix is equal to its column rank. The proof is elementary and accessible in a beginning linear algebra. It requires only the definition of matrix multiplication and the fact that a minimal spanning set is a basis.

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Veröffentlicht in:Mathematics magazine 2005-10, Vol.78 (4), p.316-318
1. Verfasser: Wardlaw, William P.
Format: Magazinearticle
Sprache:eng
Schlagworte:
Integers
Mathematical rings
Mathematical theorems
Mathematical vectors
Mathematics
Matrices
Polynomials
Proof theory
Theorems
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Beschreibung
Zusammenfassung:  Wardlaw presents a short proof that the row rank of a matrix is equal to its column rank. The proof is elementary and accessible in a beginning linear algebra. It requires only the definition of matrix multiplication and the fact that a minimal spanning set is a basis.
ISSN:0025-570X
1930-0980
DOI:10.1080/0025570X.2005.11953349