| 正定矩阵基与正交矩阵基及其应用 |
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| 引用本文： | 张景晓.正定矩阵基与正交矩阵基及其应用[J].山东师范大学学报(自然科学版),2003,18(3):15-17. |
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| 作者姓名： | 张景晓 |
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| 作者单位： | 德州学院数学系,253023,山东,德州 |
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| 摘 要： | 给出了正定矩阵基与正交矩阵基；证明了每个实二次型都可由基本正定二次型唯一线性表出，以及欧氏空间上的每个线性变换都可由基本正交变换唯一线性表出。
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| 关 键 词： | 正定矩阵基 正交矩阵基 实二次型 基本正定二次型 基本正交变换 线性变换 |
POSITIVE DEFINITE MATRIX BASIS AND ORTHOGONAL MATRIX BASIS AS WELL AS APLICATION |
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| Zhang Jingxiao.POSITIVE DEFINITE MATRIX BASIS AND ORTHOGONAL MATRIX BASIS AS WELL AS APLICATION[J].Journal of Shandong Normal University(Natural Science),2003,18(3):15-17. |
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| Authors: | Zhang Jingxiao |
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| Abstract: | In this paper,We give concepts of positive definite matrix basis and orthogonal matrix basis,and show that every real quadric form can be lineally expressed by basic positive definite quadratic form; every linear transformation in Euclidean space can be lineally expressed by basic orthogonal transformation. |
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| Keywords: | positive definite matrix basis orthogonal matrix basis basic positive definite quadratic form basic orthogonal transformation |
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