| 欧氏空间子空间正交补的代数方法研究 |
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| 引用本文： | 张力宏,刘鹏飞.欧氏空间子空间正交补的代数方法研究[J].大学数学,2009,25(3). |
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| 作者姓名： | 张力宏 刘鹏飞 |
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| 作者单位： | 吉林师范大学,数学学院,吉林,四平,136000 |
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| 摘 要： | 在n维欧氏空间Rn中,对其任意的非零子空间V1,有子空间V2使V1⊥V2,且Rn=V1V2.本文对这一几何问题利用齐次线性方程组给予了代数方法的又一种证明.
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| 关 键 词： | 欧氏空间 正交补 齐次线性方程组 基础解系 |
Algebra Method Studies on Orthocomplement of Euclidean Subspace |
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| ZHANG Li-hong,LIU Peng-fei.Algebra Method Studies on Orthocomplement of Euclidean Subspace[J].College Mathematics,2009,25(3). |
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| Authors: | ZHANG Li-hong LIU Peng-fei |
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| Institution: | Department of Mathematics;Jilin Normal University;Siping;Jilin 136000;China |
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| Abstract: | In the Euclidean space of n-dimension,to its random subspace V1,there have subspace V2 such that V1⊥V2 and Rn=V1V2.This article given another kind of proof using algebra method by system of homogeneous linear equations to the geometry question. |
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| Keywords: | Euclidean space orthocomplement system of homogeneous linear equations basic system of solutions |
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