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Homedeterminant of the Vandermonde matrix

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# 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

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

Keywords:

Vandermonde-determinant

Synonym:

Vandermonde determinant

Type of Math Object:

Result

Major Section:

Reference

Parent:

Groups audience:

## Mathematics Subject Classification

15A57*no label found*65F99

*no label found*65T50

*no label found*

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## Recent Activity

Oct 21

new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag

new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag

## Comments

## Proof

any chance of getting a proof of this?

## Re: Proof

Proof has arrived!

## Re: Proof

Thanks.

Nice proof by the way!