列主元素消去是由高斯消去法改进得到的求解线性方程组的方法，它是目前计算机上常用的解低阶稠密矩阵方程组的有效方法。列主元消去法就是在每次选主元时，仅依次按列选取绝对值最大的元素作为主元，且只交换两行，再进行消元计算。程序通过将矩阵元素赋给数组，再操作数组从而达到处理矩阵的目的。这样便可以将矩阵化为上三角形式，轻松地解出方程组的最后一组解。在计算出方程组最后一个解后，应用回代的方法，计算出方程组所有的解。-Out the main elements of cancellation is received by the Gaussian elimination method to improve the methods for solving linear equations, which is commonly used in computer solutions of low-density matrix equations of ways. Main-element elimination is the main element in every election, only the order of columns selected by the largest element in absolute value as the main element, and only the exchange of two lines, further elimination calculations. Program assigned by the matrix elements of the array, and then operating the array so as to achieve the purpose of dealing with matrices. This will be the matrix into upper triangular form, easily solved equations of the final group solution. Equations in the calculation of the final solution, the application of back substitution method to calculate all the solutions of equations.