# Definition:Vandermonde Determinant/Formulation 1/Also presented as/Ones at Right

## Definition

The Vandermonde determinant of order $n$ can be presented in various orientations, for example:

$V_n = \begin {vmatrix} {x_1}^{n - 1} & {x_1}^{n - 2} & \cdots & x_1 & 1 \\ {x_2}^{n - 1} & {x_2}^{n - 2} & \cdots & x_2 & 1 \\ \vdots & \vdots & \ddots & \vdots & \vdots \\ {x_n}^{n - 1} & {x_n}^{n - 2} & \cdots & x_n & 1 \\ \end {vmatrix}$

## Also see

• Results about the Vandermonde determinant can be found here.

## Source of Name

This entry was named for Alexandre-Théophile Vandermonde.