Hermitian Matrix

A hermitian matrix is a subclass of complex Symmetric Matrices satisfying $a\_ij=\overline{a\_ji}$. The entries on the other side of the diagonal must be equal to its complex conjugate.

$$\left[\begin{array}{ccc}-& 1+3i& 1-5i\\ 1-3i& -& -\\ 1+5i& -& -\end{array}\right]$$

They are associated with the property

• $B^H=B$ Hermitian-symmetric
• All real $\lambda$ and orthogonal eigenvectors due to inheritance from (Symmetric Matrices) Skew-Hermitian Matrix