The determinant of a transpose refers to the mathematical property that states the determinant of a matrix is equal to the determinant of its transpose. This means that if you have a square matrix A, then the relationship $$ ext{det}(A) = ext{det}(A^T)$$ holds true. This property emphasizes the symmetry in determinants and highlights the consistent behavior of determinants under transposition, which is key in understanding linear transformations and matrix theory.
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