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The Adjoint Alternative For Matrix Operators, C. H. Cooke
The Adjoint Alternative For Matrix Operators, C. H. Cooke
Mathematics & Statistics Faculty Publications
The following inverse problem is considered: given a matrix B of rank r, does there exist a matrix A such that
B = T(A) = adjoint (A)
where the classical adjoint operation is intended? Conditions are determined on the rank of B which decides whether or not B lies in the range of the matrix adjoint operator.