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

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Definition

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

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


Also see

  • Results about the Vandermonde determinant can be found here.


Source of Name

This entry was named for Alexandre-Théophile Vandermonde.


Sources