| 矩阵的幂零分解 |
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| 引用本文： | 杨浩波.矩阵的幂零分解[J].杭州师范学院学报(自然科学版),2009,8(5):334-337. |
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| 作者姓名： | 杨浩波 |
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| 作者单位： | 杭州师范大学钱江学院理学系,浙江杭州,310012 |
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| 摘 要： | 探讨数域K上n×n矩阵与幂零矩阵的运算联系.特别地,文章证得每个奇异方阵可写成一个幂零方阵和两个幂零方阵的积之和.
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| 关 键 词： | 矩阵 幂零矩阵 奇异方阵 |
Nilpotent Factorization of Matrices |
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| YANG Hao-bo.Nilpotent Factorization of Matrices[J].Journal of Hangzhou Teachers College(Natural Science),2009,8(5):334-337. |
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| Authors: | YANG Hao-bo |
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| Institution: | YANG Hao-bo (Qianjiang College, Hangzhou Normal University, Hangzhou 310012, China) |
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| Abstract: | This paper has explored the operating connections between matrices and nilpotent matrices. In particular, it shows that every singular matrix can be written as a sum of a nilpotent and the product of two nilpotents. |
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| Keywords: | matrices nilpotent singular matrices |
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