skew-symmetric

adjective

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.

“(ccc 0 2 3\-2 0-4\-3 4 0)”

Meanings

adjectiveskew-symmetric (not comparable)
  1. not comparablelinear algebraOf 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.

    (ccc 0 2 3\-2 0-4\-3 4 0)

    Synonyms: antisymmetric

Synonyms & antonyms

adjectiveOf 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.

Translations

German schiefsymmetrisch
  • schiefsymmetrischwhose 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
Swedish skevsymmetrisk, antisymmetrisk
  • skevsymmetriskwhose 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
  • antisymmetriskwhose 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
Cite this entry
APA

skew-symmetric. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/skew-symmetric

MLA

“skew-symmetric.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/skew-symmetric. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “skew-symmetric,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/skew-symmetric.

Source: skew-symmetric on Wiktionary, CC BY-SA 4.0.