# antisymmetric

> English word · Adjective

## Definitions
1. Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
2. Whose sign changes on the application of a matrix transpose or some generalisation thereof:
3. Whose sign changes on the application of a matrix transpose or some generalisation thereof:
4. Whose sign changes on the application of a matrix transpose or some generalisation thereof:

## Etymology
From anti- + symmetric.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/antisymmetric