Hermitian and anti-Hermitian matrices
A square matrix is Hermitian when and anti-Hermitian (skew-Hermitian) when .
Definition 3.19 (Hermitian and Anti-Hermitian Matrices)
If is a square, then is
- Hermitian if , i.e. for all ,
- anti-Hermitian (or skew-Hermitian) if , i.e. for all .
Related
Stated in
- Definition 3.19 (Hermitian and Anti-Hermitian Matrices)§3.4.4 Transpose and Hermitian Conjugate