Skip to main content

Home / Mathematics (thesaurus)

Mathematics (thesaurus)

algebra > linear algebra > matrix > square matrix > antisymmetric matrix

Preferred term

antisymmetric matrix

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition
${\\displaystyle A{\ ext{ skew-symmetric}}\\quad \\iff \\quad A^{\ extsf {T}}=-A.}$
In terms of the entries of the matrix, if ${\ extstyle a_{ij}}$ denotes the entry in the ${\ extstyle i}$ -th row and ${\ extstyle j}$ -th column, then the skew-symmetric condition is equivalent to
${\\displaystyle A{\ ext{ skew-symmetric}}\\quad \\iff \\quad a_{ji}=-a_{ij}.}$

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Skew-symmetric_matrix)

square matrix

skew-symmetric matrix

matrice antisymétrique

French

URI

http://data.loterre.fr/ark:/67375/PSR-TM3HVJ82-B

Download this concept:

RDF/XML TURTLE JSON-LD Last modified 10/18/24