What is the meaning of Antisymmetric?
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.
Whose sign changes on the application of a matrix transpose or some generalisation thereof:
- Whose transpose equals its negative (i.e., M = −M);
- That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);
- For which B(w,v) = -B(v,w).
Whose transpose equals its negative (i.e., M = −M);
That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);
For which B(w,v) = -B(v,w).
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