| 方阵的伴随矩阵性质探讨 |
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| 引用本文： | 张建航,李宗成.方阵的伴随矩阵性质探讨[J].高师理科学刊,2007,27(1):9-11. |
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| 作者姓名： | 张建航 李宗成 |
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| 作者单位： | 西安通信学院,数学教研室,陕西,西安,710106 |
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| 摘 要： | 回顾了方阵的伴随矩阵概念,讨论了方阵的伴随矩阵的秩、可逆性、行列式、特征值、特征向量、对称性、正交性、正定性;同时讨论了对角分块阵的伴随矩阵、2个可逆方阵乘积的伴随矩阵、三角矩阵的伴随矩阵,并对每个性质给出了证明。
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| 关 键 词： | 方阵 伴随矩阵 性质 |
| 文章编号： | 1007-9831(2007)01-0009-03 |
| 修稿时间： | 2006年6月11日 |
On the properties of the adjoint matrix of square matrix |
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| ZHANG Jian-hang,LI Zong-cheng.On the properties of the adjoint matrix of square matrix[J].Journal of Science of Teachers＇College and University,2007,27(1):9-11. |
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| Authors: | ZHANG Jian-hang LI Zong-cheng |
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| Abstract: | The concept of the adjoint matrix of square matrix was firstly reviewed.The rank,the reversibility,the determinantt,he eigenvalue and eigenvectort,he symmetryt,he orthogonal and positive definite property of the adjoint matrix of square matrix were discussed.Thent,he adjoint matrix of the diagonal partitioned matrixt,he adjoint matrix of two inverse square matrix product and the adjoint matrix of the triangular matrix were discussed.And proved the above conclusions. |
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| Keywords: | square matrix adjoint matrix property |
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