U+22B9 Hermitian Conjugate Matrix

Die Wikipedia hat die folgende Information zu diesem Codepunkt:

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j: $A\text{ is Hermitian}⟺a_{ij}=\overline{a_{ji}}$

or in matrix form: $A\text{ is Hermitian}⟺A=\overline{A^T}.$

Hermitian matrices can be understood as the complex extension of real symmetric matrices.

If the conjugate transpose of a matrix $A$ is denoted by $A^H,$ then the Hermitian property can be written concisely as

$A\text{ is Hermitian}⟺A=A^H$

Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with real symmetric matrices of always having real eigenvalues. Other, equivalent notations in common use are $A^H=A^{†}=A^{\ast },$ although in quantum mechanics, $A^{\ast }$ typically means the complex conjugate only, and not the conjugate transpose.