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<div style="font-size:30px">'''VANDERMONDE'''</div><br/>
<div style="font-size:30px">'''MATRIX("VANDERMONDE",order)'''</div><br/>
*<math>order</math> is the size of the Vandermonde matrix.
==Description==
*This function gives the matrix with the property of vandermonde.
*A Vandermonde matrix is a matrix presents a geometric progression in every row or in every column with the first element being 1.
*A Vandermonde matrix of order n is of the form:
<math>
V=\begin{bmatrix}
1 & \alpha_1 & \alpha_1^2 & \dots & \alpha_1^{n-1}\\
1 & \alpha_2 & \alpha_2^2 & \dots & \alpha_2^{n-1}\\
1 & \alpha_3 & \alpha_3^2 & \dots & \alpha_3^{n-1}\\
\vdots & \vdots & \vdots & \ddots &\vdots \\
1 & \alpha_m & \alpha_m^2 & \dots & \alpha_m^{n-1}
\end{bmatrix} </math>
*A Vandermonde matrix is sometimes also called an alternant matrix.
*Users can assign the numbers for vandermonde matrix. For e.g.,MATRIX("vandermonde",10,1..10)
==Examples==
*1.MATRIX("vandermonde")
{| class="wikitable"
|-
| 1 || 0.9070418316405267 || 0.8227248843458015
|-
| 1 || 0.9100837279111147 || 0.8282523918085919
|-
| 1 || 0.9911492799874395 || 0.9823768952196198
|}
*2.MATRIX("vandermonde",4,10..14)
{| class="wikitable"
|-
| 1 || 10 || 100 || 1000
|-
| 1 || 11 || 121 || 1331
|-
| 1 || 12 || 144 || 1728
|-
| 1 || 13 || 169 || 2197
|}
==See Also==
*[[Manuals/calci/SYMMETRIC| SYMMETRIC]]
*[[Manuals/calci/PASCAL| PASCAL]]
*[[Manuals/calci/TRIANGULAR| TRIANGULAR]]
==References==