是线性代数中的一个算法，可用来为线性方程组求解，求出矩阵的秩，以及求出可逆方阵的逆矩阵。当用于一个矩阵时，高斯消元法会产生出一个“行梯阵式”。高斯消元法可以用在电脑中来解决数千条等式及未知数。不过，如果有过百万条等式时，这个算法会十分费时。一些极大的方程组通常会用迭代法来解决。亦有一些方法特地用来解决一些有特别排列的系数的方程组。-A linear algebra algorithms can be used to solve linear equations, matrices obtained the rank and obtained reversible inverse square matrix. When used in a matrix, the Gaussian elimination method will produce a " line Echelon."　Gaussian elimination method can be used in computers to solve thousands of equations and unknowns. However, if there are more than a million of the equation, the algorithm will be very time consuming. Some great equations usually solved by an iterative method. There are some ways to solve some equations specifically have arranged a special factor.