| 谈谈方阵的对角化教学 |
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| 引用本文： | 辛向军,吕红杰.谈谈方阵的对角化教学[J].四川教育学院学报,2009,25(1):115-116. |
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| 作者姓名： | 辛向军 吕红杰 |
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| 作者单位： | 郑州轻工业学院,数学与信息科学系,郑州,450002 |
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| 基金项目： | 河南省自然科学基金，郑州轻工业学院博士科研基金 |
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| 摘 要： | 矩阵的对角化理论是线性代数教学中的一个重要内容。然而，在教学中，多数相关的结论比较抽象。文章从教学的角度讨论了方阵对角化的另外一种解释。该解释可和二次方程的结论进行类比，从而易于学生理解记忆，便于教学。
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| 关 键 词： | 矩阵对角化 矩阵的秩 特征向量 |
Teaching of Diagonalization of Square Matrix |
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| XIN Xiang-jun,LV Hong-jie.Teaching of Diagonalization of Square Matrix[J].Journal of Sichuan College of Education,2009,25(1):115-116. |
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| Authors: | XIN Xiang-jun LV Hong-jie |
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| Institution: | ( Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China) |
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| Abstract: | The diagonolization theory of square matrix is an important content in the teaching of linear algebra. However, most of the correlative conclusions are nonfigurative. This article mainly discusses another interpretation of the diagonolization of the square matrix in the teaching. An analogy between the interpretation and the conclusion of quadratic equation is made so that it can be helpful to understanding and teaching. |
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| Keywords: | diagonolization of matrix rank of a matrix eigenvector |
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