Hermitian Matrix

= self-adjoint

complex square matrix that is equal to its own conjugate transpose

so,

$$a_{ij} = \overline{a_{ji}} \quad \text{or} \quad A = \overline {A^\text{T}}$$

example: \( \begin{bmatrix} 2 & 2+i & 4 \\ 2-i & 3 & i \\ 4 & -i & 1 \\ \end{bmatrix} \)