Vandermonde matrix

A Vandermonde matrix is a special kind of grid used in mathematics to organize powers of numbers. Imagine selecting several points, and then creating a table where each row corresponds to a point, and each column shows that point raised to increasing powers (like squared, cubed, etc.). This structure helps in solving systems of equations, particularly when finding a polynomial that passes through given points. Because of its pattern, the Vandermonde matrix frequently appears in areas like interpolation, coding theory, and signal processing, providing a systematic way to handle polynomial relationships among data points.