adjoint versus classical adjoint

[123acsiac]

Is there a relation between the adjoint (conjugate transpose) and the classical adjoint (it is called other things) which is the matrix obtained by replacing each entry of a matrix by its cofactor and then one takes the transpose)

 

Thank you

[DrRocket]

Is there a relation between the adjoint (conjugate transpose) and the classical adjoint (it is called other things) which is the matrix obtained by replacing each entry of a matrix by its cofactor and then one takes the transpose)

 

Thank you

 

 

The only relationship is unfortunate terminology.