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