| 行（列）转置矩阵的性质 |
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| 引用本文： | 贾书伟,何承源.行（列）转置矩阵的性质[J].内江师范学院学报,2011,26(2):14-16. |
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| 作者姓名： | 贾书伟 何承源 |
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| 作者单位： | 西华大学,数学与计算机学院,四川,成都,610039 |
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| 基金项目： | 西华大学应用数学校重点学科 |
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| 摘 要： | 给出行（列）转置矩阵与行（列）对称矩阵的概念，并对行（列）转置矩阵的行列式、特征值、可逆性、相似性、对称性等进行了研究，得到”阶实方阵与它的行转置矩阵和列转置矩阵三者具有相同的可逆性、行转置矩阵与列转置矩阵相似以及其它一些相关结果．
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| 关 键 词： | 矩阵 行（列）转置矩阵 行（列）对称矩阵 |
Properties of Row(Column)Transposed Matrix |
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| JIA Shu-wei,HE Cheng-yuan.Properties of Row(Column)Transposed Matrix[J].Journal of Neijiang Teachers College,2011,26(2):14-16. |
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| Authors: | JIA Shu-wei HE Cheng-yuan |
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| Institution: | JIA Shu-wei,HE Cheng-yuan(School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,China) |
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| Abstract: | The concepts of row(column) transposed matrix and row(column) symmetric matrix are given,and problems like the determinant,characteristic,reversibility,similarity and symmetry are also examined.The results show: N-order matrix,together with its transposed matrix of rows and columns,all of the three have the same reversibility;the transposed matrix of rows and the transposed matrix of columns have much in common in similarity,and some other relevant results are obtained. |
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| Keywords: | matrix row(column) transposed matrix row(column) symmetric matrix |
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