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Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
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Minimally change matrix with determinant 0
In the following matrix equation, all coefficients $a_{ij}>0$ and all $a_i>0$ and the column sums in the matrix $A$ are all 0
(e.g. $-a_{11}+a_{21}+a_{31}=0$, etc.).
This means that
the determinant o …