| k阶伴随矩阵C*k(AB)的性质 |
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| 引用本文： | 蒋忠樟.k阶伴随矩阵C*k(AB)的性质[J].浙江师范大学学报(自然科学版),2005,28(3):258-260. |
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| 作者姓名： | 蒋忠樟 |
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| 作者单位： | 金华职业技术学院,师范学院,浙江,金华,321017 |
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| 摘 要： | 对于给定的数域F上的n阶矩阵A,给出并证明了k阶子式阵Ck(AB)的伴随矩阵C*k(AB)的一个性质:C*k(AB)=C*k(B)C*k(A),从而使一般意义下的伴随矩阵的性质(AB)*=(B)*(A)*得到推广.
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| 关 键 词： | 子式 代数余子式 k阶子式 k阶伴随矩阵 |
| 文章编号： | 1001-5051（2005）03-0258-03 |
| 收稿时间： | 2005-02-27 |
| 修稿时间： | 2005-04-14 |
Property of accompanying matrix C*k(AB) of order k |
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| JIANG Zhong-zhang.Property of accompanying matrix C*k(AB) of order k[J].Journal of Zhejiang Normal University Natural Sciences,2005,28(3):258-260. |
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| Authors: | JIANG Zhong-zhang |
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| Abstract: | For a matrix A of order n on a given numerical region, a property of accompanying matrix {C~*_k(AB)} of the minor matrix of C_k(AB) order k was obtained, that is C~*_k(AB)=C~*_k(B)C~*_k(A). The property of accompanying matrix of general meaning (AB)~*=(B)~*(A)~* was then generalized. |
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| Keywords: | minor algebraic cofactor minor matrix of order k accompanying matrix of order k |
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