In mathematics, Gaussian elimination is an algorithm in linear algebra that can be used to solve linear systems of equations, find the rank of a matrix, and find the inverse of a reversible matrix. When applied to a matrix, Gaussian elimination produces a "row echelon matrix". Gaussian elimination can be used on a computer to solve thousands of equations and unknowns. However, if there are more than a million equations, the algorithm will be very time-consuming. Some very large systems of equations are usually solved by iterative methods. There are also some methods specifically used to solve some systems of equations with special arrangements of coefficients.

Gaussian elimination method calculation method: