| 关于线性变换的根子空间 |
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| 引用本文： | 罗泉龙. 关于线性变换的根子空间[J]. 东华理工学院学报, 1996, 0(1): 14-18 |
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| 作者姓名： | 罗泉龙 |
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| 作者单位： | 抚州师专数学系!江西临川344000 |
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| 摘 要： | 本文系统论述了属于线性变换特征概念范围的根子空间的基本问题，主要的有两点：（１）根向量所属于的特征值的唯一性；（２）根子空间与特征子空间的结构关系，作为论述这两个问题的预备定理，文中还证明了根向量或根子空间的其它两个重要性质。
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| 关 键 词： | 特征值 特征向量 线性变换 根子空间 |
On the Rootsubspace of Linear Transformation |
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| Luo Quanlong. On the Rootsubspace of Linear Transformation[J]. Journal of East China Institute of Technology, 1996, 0(1): 14-18 |
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| Authors: | Luo Quanlong |
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| Abstract: | This article systematically deals with the fundamental problems of root subspace belonging to characteristic concepts sphere of linear transformation. There are two main points in these problems: (1) The uniqueness of characteristic value which a root vector belongs to; (2) The structure relation between the rootsubspace and the characteristic subspace belonging to the same characteristic value. As preporatory theorems in discoursing two problems, the article still prooves the other two important properties of root vector and root subspace. |
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| Keywords: | characteristic value root vector root vector of degree m root subspace |
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