What does "skew-symmetric" mean?

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.

What is a synonym for "skew-symmetric"?

Common synonyms include: antisymmetric.

Skew-symmetric

adj

adj ·Rare ·Advanced level

Definitions

Adjective

1
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. not-comparable
"(ccc 0 2 3\-2 0-4\-3 4 0)"

Synonyms

All synonyms

antisymmetric

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.