| 引用本文: | 严守喜.推广的Vandermond 行列式之值不为零的证明.[J].国防科技大学学报,1988,10(2):108-110.[点击复制] |
| Yan Shouxi.A Proof of the Extended Vandermond Determinant It not Zero[J].Journal of National University of Defense Technology,1988,10(2):108-110[点击复制] |
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| 推广的Vandermond 行列式之值不为零的证明 |
| 严守喜 |
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(应用数学与系统工程系)
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| 摘要: |
| 本文证明了在一定条件下，椎广的 Vandermond 行列式之值不等于零。这个结论在证明常系数齐次线性递归关系的通解定理中有关键性的作用。 |
| 关键词: 行列式，矩阵，齐次线性方程组，根 |
| DOI： |
| 投稿日期：1987-06-25 |
| 基金项目: |
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| A Proof of the Extended Vandermond Determinant It not Zero |
| Yan Shouxi |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| This paper has proved the fact that the extended Vandermond determinant is not zero，this is the most important fact in proving the theorem for the general solutions of a linear homogeneous relation with constant cofficients in the case of repeated roots. |
| Keywords: Determinant,Matrix,Linear homogeneous equations,Root |
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