FANDOM


A skew-symmetric (or antisymmetric or antimetric[1]) matrix is a square matrix whose transpose equals its negative.

If aij denotes the entry in the i th row and j th column; i.e., A = (aij), then the skew-symmetric condition is aji = −aij. For example, the following matrix is skew-symmetric:

$ \begin{bmatrix} \,\,0&\!-a_3&\,\,\,a_2\\ \,\,\,a_3&0&\!-a_1\\ \!-a_2&\,\,a_1&\,\,0 \end{bmatrix} $

References

  1. Richard A. Reyment; K. G. Jöreskog; Leslie F. Marcus (1996). Applied Factor Analysis in the Natural Sciences. Cambridge University Press. p. 68. ISBN 0-521-57556-7. 
Wikipedia.png This page uses content from Wikipedia. The original article was at Skew-symmetric matrix.
The list of authors can be seen in the page history. As with the Math Wiki, the text of Wikipedia is available under the Creative Commons Licence.
Community content is available under CC-BY-SA unless otherwise noted.