摘要
利用初等行变换与初等矩阵的关系,可证明线性组合定理:初等行变换不改变矩阵中列向量的线性关系.
By using the relations between elementary row transformations and elementary matrices, we prove that applying elementary row transformations on a matrix does not change the linear relations among the column vectors of the matrix.
出处
《高等数学研究》
2011年第4期100-101,共2页
Studies in College Mathematics
关键词
初等行变换
初等矩阵
线性组合
列向量
elementary row transformation, elementary matrix, linear combination, column vector