In mathematics, and in particular linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation A = −AT. If the entry in the i th row and j th column is aij, i.e. A = (aij) then the skew symmetric condition is aij = −aji. For example, the following matrix is skew-symmetric:
Other articles related to "matrix":
... An n-by-n matrix A is said to be skew-symmetrizable if there exist an invertible diagonal matrix D and skew-symmetric matrix S such that A = DS ...
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“As all historians know, the past is a great darkness, and filled with echoes. Voices may reach us from it; but what they say to us is imbued with the obscurity of the matrix out of which they come; and try as we may, we cannot always decipher them precisely in the clearer light of our day.”
—Margaret Atwood (b. 1939)