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

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

 * Value of Vandermonde Determinant