| 分块对角矩阵的性质 |
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| 引用本文： | 李宗成. 分块对角矩阵的性质[J]. 高师理科学刊, 2011, 31(6): 20-22. DOI: 10.3969/j.issn.1007-9831.2011.06.007 |
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| 作者姓名： | 李宗成 |
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| 作者单位： | 西安通信学院基础部,陕西西安,710106 |
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| 摘 要： | 对分块对角矩阵的行列式、可逆性及逆阵计算、乘法、伴随矩阵等性质进行了总结.给出了非零子块矩阵与分块对角矩阵特征值、特征向量、可相似对角化、可正交相似对角化等方面的若干性质,并给出了相应证明.
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| 关 键 词： | 分块对角阵 相似 正交 |
The properties of the block diagonal matrix |
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| LIZong-cheng. The properties of the block diagonal matrix[J]. Journal of Science of Teachers＇College and University, 2011, 31(6): 20-22. DOI: 10.3969/j.issn.1007-9831.2011.06.007 |
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| Authors: | LIZong-cheng |
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| Affiliation: | LI Zong-cheng(Departmen of Foundation,Xi′an Comunications Institute,Xi′an 710106,China) |
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| Abstract: | Summarized the properties of the determinant,reversible and inverse matrix calculation,multiplication,adjoint matrix of block diagonal matrix and so on.Gave a number of the properties of eigenvalue,eigenvectors,similar diagonalization,similar orthogonal diagonalization of non-zero sub-block matrix and block diagonal matrix,and meanwhile gave the corresponding proof about it. |
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| Keywords: | block diagonal matrix similar orthogonal |
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