Category:Vandermonde Determinant
Jump to navigation
Jump to search
This category contains results about Vandermonde Determinant.
Definitions specific to this category can be found in Definitions/Vandermonde Determinant.
The Vandermonde determinant of order $n$ is the determinant defined as one of the following two formulations:
Formulation 1
- $V_n = \begin {vmatrix}
1 & x_1 & {x_1}^2 & \cdots & {x_1}^{n - 2} & {x_1}^{n - 1} \\ 1 & x_2 & {x_2}^2 & \cdots & {x_2}^{n - 2} & {x_2}^{n - 1} \\ \vdots & \vdots & \vdots & \ddots & \vdots & \vdots \\ 1 & x_n & {x_n}^2 & \cdots & {x_n}^{n - 2} & {x_n}^{n - 1} \end {vmatrix}$
Formulation 2
- $V_n = \begin {vmatrix}
x_1 & {x_1}^2 & \cdots & {x_1}^n \\ x_2 & {x_2}^2 & \cdots & {x_2}^n \\
\vdots & \vdots & \ddots & \vdots \\
x_n & {x_n}^2 & \cdots & {x_n}^n
\end{vmatrix}$
Subcategories
This category has only the following subcategory.
V
Pages in category "Vandermonde Determinant"
This category contains only the following page.