摘要
为了用矩阵语言来描述消元法解线性方程组的过程,在线性代数教材中自然地引出了矩阵的行阶梯型的概念.这里从线性映射的矩阵表示的角度,给出了化矩阵为简化行阶梯形的初等行变换所对应的矩阵的几何刻画.
The concept of row-echelon form of matrix is naturally introduced in textbooks to describe in matrix language the process of solving linear equations by elimination method.From the perspective of matrix representation of linear mapping,the matrix is geometrically characterized here,which corresponds to the elementary row transformations transforming a given matrix into its simplified row-echelon form.
作者
严质彬
YAN Zhibin(School of Science,Harbin Institute of Technology Shenzhen,Shenzhen Guangdong 518055,China)
出处
《大学数学》
2022年第3期101-104,共4页
College Mathematics
基金
哈尔滨工业大学(深圳)教研项目(HITSZIP19008)
国家自然科学基金项目(62073096)。
关键词
初等变换
矩阵等价
行阶梯形
线性映射
elementary transformation
matrix equivalence
row-echelon form of matrix
linear mapping
