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Vandermonde Determinant


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The determinant of monomes $ 1,x,\ldots x^{n-1}$ evaluated at $ n$ points $ x_i$ equals

$\displaystyle \left\vert\begin{array}{cccc}
1 & x_1 & \ldots & x_1^{n-1} \\
...
... & \ldots & x_n^{n-1}
\end{array}\right\vert
=
\prod_{i>j} (x_i-x_j)\,
.
$

(Authors: Burkhardt/Höllig/Hörner)

see also:


[Annotations]

  automatically generated 1/27/2005