Asymmetric Matrix

An asymmetric matrix is a square matrix that is not symmetric, i.e., a matrix A such that


where A^(T) denotes the transpose. An asymmetric matrix therefore satisfies a_(ij)!=a_(ji) for at least one value of i!=j.

A special class of asymmetric matrix satisfying a_(ij)=-a_(ji) is known as an antisymmetric matrix.

See also

Antisymmetric Matrix, Symmetric Matrix

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Cite this as:

Weisstein, Eric W. "Asymmetric Matrix." From MathWorld--A Wolfram Web Resource.

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