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

Definition
The Vandermonde matrix of order $n$ can be presented in various orientations, for example:
 * $\begin {bmatrix}

{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 {bmatrix}$

That is, such that:
 * $a_{i j} = {x_i}^{n - j}$