A matrix for which

where the conjugate transpose is denoted , is the transpose, and is the complex conjugate. If a matrix is self-adjoint, it is said to be Hermitian.

A matrix for which

where the conjugate transpose is denoted , is the transpose, and is the complex conjugate. If a matrix is self-adjoint, it is said to be Hermitian.

Weisstein, Eric W. "Self-Adjoint Matrix."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Self-AdjointMatrix.html