determinant of the Vandermonde matrix

Let $R$ be a commutative ring with identity, and fix elements $a_{1},a_{2},...,a_{n}\in R$ . The determinant of the Vandermonde matrix $\big{(}(a_{i})^{j-1}\big{)}_{i,j=1}^{n}$ is equal to the product

\prod_{1\leq i<j\leq n}(a_{j}-a_{i}).

Title	determinant of the Vandermonde matrix
Canonical name	DeterminantOfTheVandermondeMatrix
Date of creation	2013-03-22 14:33:52
Last modified on	2013-03-22 14:33:52
Owner	GeraW (6138)
Last modified by	GeraW (6138)
Numerical id	10
Author	GeraW (6138)
Entry type	Result
Classification	msc 15A57
Classification	msc 65F99
Classification	msc 65T50
Synonym	Vandermonde determinant