| 伴随矩阵的一个性质 |
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| 引用本文： | 褚利忠,蒋理.伴随矩阵的一个性质[J].高师理科学刊,2011,31(1):7-8,11. |
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| 作者姓名： | 褚利忠 蒋理 |
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| 作者单位： | 苏州大学,数学科学学院,江苏,苏州,215006 |
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| 基金项目： | 国家自然科学基金项目(10926094,10771152); 江苏省高校自然科学基金项目(09KJB110006) |
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| 摘 要： | 文献1]给出了结论:如果阶方阵的每一行(列)所有元素之和均相等,则A的伴随矩阵A*的每一行(列)所有元素之和也相等.给出了新的证明方法,并在此证明方法的基础上讨论了它的逆命题.
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| 关 键 词： | n阶方阵 伴随矩阵 分块矩阵 |
A property of the adjoint matrix |
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| CHU Li-zhong,JIANG Li.A property of the adjoint matrix[J].Journal of Science of Teachers＇College and University,2011,31(1):7-8,11. |
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| Authors: | CHU Li-zhong JIANG Li |
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| Institution: | CHU Li-zhong,JIANG Li(School of Mathematic Science,Soochow University,Suzhou 215006,China) |
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| Abstract: | Let A be an n×n-matrix.A＊ stands for its adjoint matrix.It was proved in 1] that,if the sum of all entries on each row（column）of A is equal to each other,then it is also so for A＊.A new proof of the above result was given,and studied the inverse proposition of it on base of the idea of this new proof. |
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| Keywords: | n×n-matrix adjoint matrix partitioned matrix |
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