The Vandermonde indexing function can be used to construct rtable objects of type Array or Matrix.

In the specification of a Matrix, if Vandermonde[V] is included in the calling sequence as an indexing function, where V is a Vector or a list of algebraic values or a name, a Vandermonde Matrix is returned.

Note:    A Vandermonde Matrix is a Matrix with entries M[i,j] = V[i]^(j-1).

The specification is the same in the construction of an Array.

$A≔\mathrm{Array}\left(\mathrm{Vandermonde}\left[\left[1\,2\,3\,4\,5\right]\right]\,1..4\,1..3\right)$

$A≔\left[\begin{array}{ccc}1& 1& 1\\ 1& 2& 4\\ 1& 3& 9\\ 1& 4& 16\end{array}\right]$

$M≔\mathrm{Matrix}\left(3\,\mathrm{shape}=\mathrm{Vandermonde}\left[⟨a\,b\,c⟩\right]\right)$

$M≔\left[\begin{array}{ccc}1& a& a^2\\ 1& b& b^2\\ 1& c& c^2\end{array}\right]$

$M≔\mathrm{Matrix}\left(3\,\mathrm{shape}=\mathrm{Vandermonde}\left[v\right]\right)$

$M≔\left[\begin{array}{ccc}1& v_1& v_1^2\\ 1& v_2& v_2^2\\ 1& v_3& v_3^2\end{array}\right]$