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determinant of the Vandermonde matrix
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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 $$\prod_{1 \leq i < j \leq n}(a_j - a_i).$$
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"determinant of the Vandermonde matrix" is owned by GeraW. [ full author list (2) ]
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Vandermonde-determinant |
This object's parent.
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Cross-references: product, fix, identity, commutative ring
There is 1 reference to this entry.
This is version 6 of determinant of the Vandermonde matrix, born on 2004-08-31, modified 2006-06-10.
Object id is 6120, canonical name is DeterminantOfTheVandermondeMatrix.
Accessed 6463 times total.
Classification:
| AMS MSC: | 65T50 (Numerical analysis :: Numerical methods in Fourier analysis :: Discrete and fast Fourier transforms) | | | 65F99 (Numerical analysis :: Numerical linear algebra :: Miscellaneous) | | | 15A57 (Linear and multilinear algebra; matrix theory :: Other types of matrices ) |
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