In projective geometry, the map between a primal and dual quadric is the adjugate: $adj(Q) = Q^*$. The map from dual to primal is then the inverse adjugate, $Q = adj^{-1}(Q^*)$, as in this paper.
How is this calculated? I know the adjugate is the inverse multiplied by the determinant, but I don't see how to invert this operation.
Help is appreciated!
After some math with determinants, it looks like $adj^{-1}(A) = A^{-1} * |A|^{\frac{1}{1 - dim(A)}}$ (based on The determinant of adjugate matrix).