矩阵的初等变换在《线性代数》中的应用

Applications of Elementary Transformation of Matrix in Linear Algebra

文章总结了初等变换在求矩阵的秩、向量组的秩、逆矩阵,求解线性方程组和多项式的最大公因式等方面的应用,并通过实例加以说明,进而介绍了广义初等变换的思想方法和应用。

This paper summarizes the applications of elementary transformation of matrix in solving the rank of a matrix or a set of vectons, calculating inverse matrix or system of linear equations, and solving the system of linear equations and the greatest common divisor of polynomials with examples, furthermore, it introduces the thought and application of generalized elementary transformation.