| 分块矩阵的应用 |
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| 引用本文： | 徐天保.分块矩阵的应用[J].安庆师范学院学报(自然科学版),2010,16(2):106-108,114. |
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| 作者姓名： | 徐天保 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 摘 要： | 本文主要证明了矩阵的分块在《高等代数》中的应用,包括用分块矩阵求矩阵的行列式问题,讨论分块矩阵与秩的关系,用分块矩阵求逆矩阵问题,对分块矩阵的若干定理和性质进行了总结和推广。
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| 关 键 词： | 分块矩阵 行列式 逆矩阵 秩 |
The Application of Block Matrix |
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| XU Tian-bao.The Application of Block Matrix[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(2):106-108,114. |
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| Authors: | XU Tian-bao |
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| Institution: | XU Tian-bao(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper,we discuss the application of the block matrix in higher algebra including resolving the problem of matrix determinant by it. We also discuss the relationship between the block matrix and its rank,and give a general conclusion which is based on the method. Then we summarize and promote some theorems and properties of block matrix. |
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| Keywords: | block matrix determinant inverse matrix rank |
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