Skew-symmetric Matrix

Skew-symmetric Matrix

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:

begin{bmatrix}
0 & 2 & -1 \
-2 & 0 & -4 \
1 & 4 & 0end{bmatrix}.

Read more about Skew-symmetric Matrix:  Properties, Alternating Forms, Infinitesimal Rotations, Coordinate-free, Skew-symmetrizable Matrix

Other articles related to "matrix":

Skew-symmetric Matrix - Skew-symmetrizable 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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