**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* = −*A*T. If the entry in the *i* th row and *j* th column is *a _{ij}*, i.e.

*A*= (

*a*

_{ij}) then the skew symmetric condition is

*a*= −

_{ij}*a*. For example, the following matrix is skew-symmetric:

_{ji}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 ...

### Famous quotes containing the word matrix:

“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)