nLab transpose matrix

Definition

If $A = (a_{i j})$ is a matrix, then its transpose $A^T$ is the matrix $A^T \coloneqq (a_{j i})$.

A square matrix which is its own transpose, $A =A^T$, is called a symmetric matrix.

Related concepts

• conjugate transpose matrix

• hermitian matrix

• bilinear form

• dagger-compact category

References

• Wikipedia: Transpose