| 关于实对称矩阵惯性定理的新证明 |
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| 引用本文： | 时彬彬,李仁所,沈有建. 关于实对称矩阵惯性定理的新证明[J]. 海南师院学报, 2012, 0(1): 26-27 |
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| 作者姓名： | 时彬彬 李仁所 沈有建 |
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| 作者单位： | [1]海南师范大学数学与统计学院,海南海口571158 [2]山东农业大学信息学院数学系,山东泰安271018 |
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| 摘 要： | 由实对称矩阵与实二次型的联系，巧妙地选取两组等价向量代入实二次型。依据结果及向量组的性质给出惯性定理的证明，简明清晰。
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| 关 键 词： | 实对称矩阵 二次型 等价向量组 惯性定理 |
New Proof of the Theorem Inertia on the Real Symmetric Matrix |
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| SHI Binbinl,LI Rensu,SHEN Youjian. New Proof of the Theorem Inertia on the Real Symmetric Matrix[J]. Journal of Hainan Normal University(Humanities and Social Sciences), 2012, 0(1): 26-27 |
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| Authors: | SHI Binbinl LI Rensu SHEN Youjian |
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| Affiliation: | 1. College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China; 2. Department of Mathematies , Shandong Agrieultural University , Taian 271018,China) |
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| Abstract: | Based on the connection of the real symmetric matrix and real quadratic form, two equal selected vector were introduced into real quadratic forms, according to the results and the nature of the vector group, the inertia theorem was proved concisely and clealy. |
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| Keywords: | real symmetric matrix quadratic form equivalent vectors inertia theorem |
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