skew-symmetric

See also: skewsymmetric, and skew symmetric

English

Adjective

skew-symmetric (not comparable)

1. (linear algebra) Of a matrix, satisfying $A^{\textsf {T}}=-A$, i.e. having entries on one side of the diagonal that are the additive inverses of their correspondents on the other side of the diagonal and having only zeroes on the main diagonal.
   • $\left({\begin{array}{ccc}0&2&3\\-2&0&-4\\-3&4&0\end{array}}\right)$

Synonyms

• antisymmetric

Translations

whose entries on one side of the diagonal are the additive inverses of their correspondents on the other side of the diagonal and whose elements on the main diagonal are zero

• German: schiefsymmetrisch
• Swedish: skevsymmetrisk (sv), antisymmetrisk (sv)