The determinant of the Vandermonde matrix V with rows (1, x_i, x_i², …, x_i^{n−1}) equals the product of pairwise differences. Non-vanishing iff the x_i are distinct — guarantees unique polynomial interpolation through n points.…
The determinant of the Vandermonde matrix V with rows (1, x_i, x_i², …, x_i^{n−1}) equals the product of pairwise differences. Non-vanishing iff the x_i are distinct — guarantees unique polynomial interpolation through n points.…