| 矩阵空间一类保持矩阵的秩1且保持体积不变的线性变换 |
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| 引用本文： | 陈荣群.矩阵空间一类保持矩阵的秩1且保持体积不变的线性变换[J].海南师范大学学报(自然科学版),2014(4):373-376. |
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| 作者姓名： | 陈荣群 |
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| 作者单位： | 莆田学院 基础教育学院,福建 莆田,351200 |
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| 摘 要： | 矩阵体积是矩阵行列式绝对值的推广,也是向量长度的推广.在理解矩阵体积定义的基础上,研究了矩阵空间一类保持矩阵的秩1且保持体积不变的线性变换所满足的条件.
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| 关 键 词： | 矩阵体积 保持秩1 线性变换 矩阵代数 |
The Linear Transformation of Preserving Matrix Rank One and Constant Volume on Matrix Space |
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| CHEN Ronqun.The Linear Transformation of Preserving Matrix Rank One and Constant Volume on Matrix Space[J].Journal of Hainan Normal University:Natural Science,2014(4):373-376. |
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| Authors: | CHEN Ronqun |
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| Institution: | CHEN Ronqun (College of Basic Education, Putian University, Putian 351200, China) |
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| Abstract: | The volume of matrix is a generalization of the determinant, also a generalization of the vector length. Based on the understanding of the definition of the matrix volume, the linear transformation with the conditions of preserving matrix rank 1 and constant volume is studied on matrix space. |
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| Keywords: | volume of matrix preserving matrix rank 1 linear transformation matrix of algebra |
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