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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

Hi all, My question is: Is there a good source that defines "tensor rank" for me? Yes, I have seen several already, but perhaps I am mostly interested in a definition that is more mathematical (rigid)...For example, how do we define the rank of a multilinear form? If I have f: V x V x V...x V --------> k, what should the rank of this map be? Thank you