Cauchy matrix

A Cauchy matrix is a special kind of mathematical grid with entries calculated using two sets of numbers. Specifically, each element is the reciprocal of the difference between one number from the first set and one from the second set. This structure makes Cauchy matrices useful in various areas like numerical analysis and signal processing due to their unique properties, such as explicit formulas for their inverses. They serve as important examples and tools in understanding complex mathematical concepts related to matrices and their behaviors.