# Definition:Vandermonde Matrix/Formulation 1/Also presented as/Ones at Top

## Definition

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

$\begin {bmatrix} 1 & 1 & \cdots & 1 \\ x_1 & x_2 & \cdots & x_n \\ \vdots & \vdots & \cdots & \vdots \\ {x_1}^{n - 1} & {x_2}^{n - 1} & \cdots & {x_n}^{n - 1} \\ \end {bmatrix}$

That is, such that:

$a_{i j} = {x_j}^{i - 1}$

## Also see

• Results about Vandermonde matrices can be found here.

## Source of Name

This entry was named for Alexandre-Théophile Vandermonde.