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《College Mathematics》 2018-04
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Notes on Linear and Affine Subspaces

XU Yun-ge;ZENG Xiang-yong;Faculty of Mathematics and Statistics,Hubei University,Hubei Key Laboratory of Applied Mathematics;  
Considered as an inverse problem to system of linear equations,linear and affine subspaces are characterized to be the solution sets of homogeneous and non-homogeneous systems of linear equations respectively,and a very convenient way to solve the inverse problem is given based on row elementary transformations of matrices.Furthermore,quotient spaces are introduced via affine subspaces,the homomorphism fundamental theorem is established and thus a new proof for the dimension formula is obtained.
【Fund】: 湖北大学教学研究项目(201749);; 湖北省教育厅教改项目(2017)
【CateGory Index】: O151.2
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