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Self-Adjoint Matrix

A Matrix A for which

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

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




© 1996-9 Eric W. Weisstein
1999-05-26