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adjoint versus classical adjoint

123acsiac
in Linear Algebra and Group Theory

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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

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.

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