Self-Adjoint Matrix

A Matrix A for which

$${\hbox{\sf A}}^\dagger \equiv ({\hbox{\sf A}}^{\rm T})^*={\hbox{\sf A}},$$

where the Adjoint Operator is denoted ${\hbox{\sf A}}^\dagger$, ${\hbox{\sf A}}^{\rm T}$ is the Matrix Transpose, and $*$ is the Complex Conjugate. If a Matrix is self-adjoint, it is said to be Hermitian.

See also Adjoint Operator, Hermitian Matrix, Matrix Transpose