ADJOINT

Adjoint - The classical adjoint of a matrix A is its transpose matrix of cofactors: Adj(A)_ij = (–1)^(i+j)det(A^(j,i)), where A^(j,i) is the transpose of A with j-th column of A and i-th row of A deleted. The Hermitian adjoint, A*, is the transpose of the conjugate. The latter is generally what is meant by the adjoint in most contexts, and we simply have A*=A' when A is real-valued.