BUILT-IN MATHEMATICA SYMBOL

# Matrices

Matrices[{d1, d2}]
represents the domain of matrices of dimensions ×.

Matrices[{d1, d2}, dom]
represents the domain of matrices of dimensions ×, with components in the domain dom.

Matrices[{d1, d2}, dom, sym]
represents the subdomain of matrices × with symmetry sym.

## DetailsDetails

• Valid dimension specifications in Matrices[{d1, d2}, dom, sym] are positive integers. It is also possible to work with symbolic dimension specifications.
• Valid component domain specifications dom are either Reals or Complexes. Matrices[{d1, d2}] uses Complexes by default.
• For matrices, the symmetry sym can be either Symmetric[{1, 2}], Antisymmetric[{1, 2}], or , which represents the trivial symmetry.
• If the symmetry sym is nontrivial, then the dimensions and must coincide.

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

An antisymmetric real matrix in dimension :

 Out[1]=

The Dot product of with itself is also a × matrix:

 Out[2]=

But now it is a symmetric matrix:

 Out[3]=