Vandermonde matrix

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In Linear Algebra, a Vandermonde matrix, named after Alexandre-Théophile Vandermonde, is a matrix with the form:

with entries , the jth power of the number , for all indices and where and start at 0. Most authors define the Vandermonde matrix as the transpose of the above matrix.

Applications[change | change source]

Vandermonde matrices are commonly used in introductory Linear Algebra courses to prove least squares solutions.