| 与方阵A相关矩阵的特征值及特征向量 |
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| 引用本文： | 高波. 与方阵A相关矩阵的特征值及特征向量[J]. 常州工学院学报, 2012, 25(1): 59-60,75 |
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| 作者姓名： | 高波 |
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| 作者单位： | 常州工学院理学院,江苏常州,213002 |
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| 摘 要： | 文章由方阵A的特征值及特征向量推导出与其相关矩阵kA、Am、aA+bE、A*、A-1(k、a、b为常数,m∈N+)的特征值及特征向量,并对其应用进行了探究。
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| 关 键 词： | 方阵 特征值 特征向量 |
Eigenvalue and Eigenvector of Some Related Matrices with Square Matrix A |
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| GAO Bo. Eigenvalue and Eigenvector of Some Related Matrices with Square Matrix A[J]. Journal of Changzhou Institute of Technology, 2012, 25(1): 59-60,75 |
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| Authors: | GAO Bo |
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| Affiliation: | GAO Bo(School of Science,Changzhou Institute of Technology,Changzhou 213002) |
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| Abstract: | This paper discusses the relations between the eigenvalues and eigenvectors of a square matrix and its related matrices,such as inverse matrix,adjoint matrix,and so on.The conclusions are that the latter′s eigenvalues and eigenvectors can be derived from those of the former.Then some examples are demonstrated how to use these conclusions. |
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| Keywords: | square matrix eigenvalue eigenvector |
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