mathematically, gaussian elimination method (or translation: gaussian elimination method) is an algorithm in linear algebra, which can be used to solve linear equations, find the rank of a matrix, and find the inverse matrix of an invertible square matrix. when applied to a matrix, gaussian elimination produces a "row-echelon matrix". gaussian elimination can be used in computers to solve thousands of equations and unknowns. however, if there are more than a million equations, this algorithm will be very time-consuming. very large systems of equations are often solved using iterative methods. there are also methods specifically designed to solve systems of equations with specially arranged coefficients.

gaussian elimination method calculation method: