线性无关向量组的几个性质及其应用  

Several Natures and the Application of the Linear Independent Vector Group

作　　者：贾寅戌[1] 

机构地区：[1]邢台职业技术学院,河北邢台054035

出　　处：《邢台职业技术学院学报》2003年第1期33-36,共4页Journal of Xingtai Polytechnic College

摘　　要：线性无关的向量组组成的矩阵在某些方面和非奇异阵有着相似的性质,但与非奇异阵又有着一些本质的区别。本文首先讨论了几个有关性质, 然后证明几个关于矩阵秩的问题。The matrix composed of the linear independent vector group is similar in some natures to the nonsingular matrix. However, there is an essential distinction between it and the nonsingular matrix. The author will discuss some natures concerned and then prove several questions about the matrix rank.

关 键 词：线性无关 向量组 性质 应用 线性相关 矩阵 秩 非奇异阵 列满秩矩阵 行满秩矩阵 

分 类 号：O183.1[理学—数学] O151.2[理学—基础数学]