| 一道高等代数习题的证明 |
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| 引用本文： | 李卫高. 一道高等代数习题的证明[J]. 高等数学研究, 2010, 13(3): 41-42 |
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| 作者姓名： | 李卫高 |
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| 作者单位： | 漯河医学高等专科学校,河南漯河,462002 |
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| 摘 要： | 结合行列式的计算性质,通过建立一个绝对值不等式,利用数学归纳法,给出某教材中一道有关主对角占优矩阵和严格主对角占优矩阵的习题的证明方法.
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| 关 键 词： | 绝对值不等式 行列式 数学归纳法 |
A Proof of An Exercise in An Advanced Algebra Textbook |
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| LI Wei Gao. A Proof of An Exercise in An Advanced Algebra Textbook[J]. Studies In College Mathematics, 2010, 13(3): 41-42 |
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| Authors: | LI Wei Gao |
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| Affiliation: | (Luohe Medical college, Luohe, Henan, 462002, PRC) |
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| Abstract: | Combined with the determinant calculating quality, from which an absolute value inequality was established, as well as applied mathematical induction, one proof of the exercise, which is about diagonal dominant and strictly diagonally dominant matrices in an Advanced Algebra textbook, is given. |
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| Keywords: | Absolute value inequality Determinant Mathematical Induction. |
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