| 迹与行列式的相互表示 |
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| 引用本文： | 李伟健.迹与行列式的相互表示[J].数学学习,2013(6):61-62. |
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| 作者姓名： | 李伟健 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 摘 要： | 应用牛顿恒等式，得到矩阵的特征值的对称多项式与等幂和之间的关系，以此为基础给出行列式的迹表示，另由克莱姆法则导出迹的行列式表示。
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| 关 键 词： | 牛顿恒等式 行列式 迹 |
On Expressions of Trace and Determinant by Each Other |
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| LI Weijian.On Expressions of Trace and Determinant by Each Other[J].Studies In College Mathematics,2013(6):61-62. |
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| Authors: | LI Weijian |
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| Institution: | LI Weijian (Department of Mathematics, Shaanxi Normal University, Xi＇an 710062, PRC) |
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| Abstract: | The matrix eigenv-alues therefore followed. Cramer rule. relationship between symmetric polynomial and power sum polynomial of is obtained from Newton identities. The trace representation of determinant is On the other hand, the determinant representation of trace is deduced from |
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| Keywords: | Newton identities determinant trace |
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