Transpose

Matrix obtained from a given matrix by interchanging its rows and columns. Denoted by a superscript T, like .

Properties

2. Distributive over addition:

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.