The adjoint matrix, sometimes also called the Adjugate Matrix, is defined by

(1) 
where the Adjoint Operator is denoted and denotes the Transpose. If a
Matrix is SelfAdjoint,
it is said to be Hermitian. The adjoint matrix of a Matrix product is given by

(2) 
Using the property of transpose products that
it follows that

(4) 
© 19969 Eric W. Weisstein
19990525