求行最简形矩阵的C++实现

C++ Implementation of the Simplest Matrix of Seeking Rows

行最简形矩阵是线性代数的重要组成部分,其相关应用涉及矩阵或向量组的秩、逆矩阵、向量组的线性相关性和线性方程组的求解。笔者结合线性代数求解行最简形矩阵的相关知识和计算机数据与算法的特点,利用C++语言进行编程,提出了求解一个任意行和任意列的矩阵的行最简形的通用算法。经过大量测试,该算法展现出良好的鲁棒性。

Line-simplify matrix is the fundamental knowledge of linear algebra.The relative application of line-simplify can refer to rank of matrix or vector group,inverse matrix,linear correlation of vector group,and the solution of system of linear equations.The author presented universal algorithm of solving line-simplify matrix of random line and column.The algorithm used CPP language to apply according to the knowledge of solving line-simplify matrix in linear algebra and the features of computer data and algorithm.This algorithm shows good robustness by substantive test.