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Exact determinant of a Cauchy-like matrix
Question. Is there a closed-form expression for the determinant of a $n \times n$ matrix $A$ with entries
$$
A_{i,j} = \frac{1 - \delta_{i, j}}{z_i - z_j}, \qquad 1\leq i, j\leq n,
$$
where $z_i$ ...