Definition:Vandermonde Matrix/Formulation 2

Definition
The Vandermonde matrix of order $n$ is a square matrix specified variously as:
 * $\begin {bmatrix}

x_1 & x_2 & \cdots & x_n \\ x_1^2 & x_2^2 & \cdots & x_n^2 \\ \vdots & \vdots & \ddots & \vdots \\ x_1^n & x_2^n & \cdots & x_n^n \end {bmatrix}$

That is, such that:
 * $a_{ij} = x_j^i$