Hermitian adjoint matrix, of a given (rectangular or square) matrix over the field of complex numbers
The matrix whose entries are the complex conjugates of the entries of , i.e. . Thus, the adjoint matrix coincides with its complex-conjugate transpose: where denotes complex conjugation and the denotes transposition.
Properties of adjoint matrices are:
Adjoint matrices correspond to adjoint linear transformations of unitary spaces with respect to orthonormal bases.
For references, see Matrix.
Adjoint matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Adjoint_matrix&oldid=12893