矩阵列阶梯形、列最简形及其应用  

Column-Echelon Form and Reduced Column-Echelon Form of Matrix and Their Applications

作　　者：孟令胜 MENG Ling-sheng(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gans)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《陇东学院学报》2018年第5期1-3,共3页Journal of Longdong University

基　　金：国家自然科学基金资助项目(No.11701458);西北师范大学青年教师科研能力提升计划项目(NWNULKQN-16-15)

摘　　要：给出了列阶梯形和列最简形矩阵的定义及其三个应用:求矩阵的秩、求方阵的逆矩阵、求线性方程组的解。In this paper, the definitions of column-echelon fore1 and reduced column-echelon form of matrix are given. Finally, three applications of column-echelon fore1 and reduced column-echelon fore1 are introduced ： finding the rank of a matrix, the inverse matrix of a square matrix, and the solutions of linear equations.

关 键 词：初等列变换 列阶梯形 列最简形 

分 类 号：O151.21[理学—数学]