摘要
矩阵的秩是代数学的一个主要研究对象,也是应用数学研究中的一个重要工具。文章叙述了矩阵秩的几个等价定义,并且给出了几个相关秩的结论。通过例子来验证和探讨了矩阵秩在线性代数中的应用。
Rank of matrix is one of the major objects in algebra study, and an important tool for the research on applied mathematics as well. The present paper describes the equivalent definitions of matrix rank and provides the conclusion related to matrix rank. The application of rank of matrix to linear algebra was validated and discussed by example.
关键词
矩阵的秩
线性方程组
向量
系数矩阵
matrix rank
Linear Equations
Vector
Coefficient matrix
