More Types of Matrices

Symmetric matrix

If . Subset of square matrices.

Skew Symmetric matrix

If . Subset of square matrices. All elements in main diagonal are .

Note

Any square matrix can be expressed as a sum of a symmetric matrix and a skew-symmetric matrix.

Complex conjucate of a matrix

Suppose . Complex conjucate matrix of is:

Hermitian matrix

A square matrix is said to be a Hermitian matrix iff .

Skew Hermitian matrix

A square matrix is said to be a Hermitian matrix iff .

Note

Any square matrix can be expressed as a sum of a hermitian matrix and a skew-hermitian matrix.