| 浅谈正定二次型的习题课设计 |
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| 引用本文： | 严文利.浅谈正定二次型的习题课设计[J].大学数学,2010,26(5). |
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| 作者姓名： | 严文利 |
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| 摘 要： | 在高等代数的实二次型内容中,正定二次型占有特殊的地位.本文从概念的回顾、正定二次型与正定矩阵的判断、二次型正定及矩阵正定的性质、其它类型二次型四个方面来设计正定二次型的习题课,并通过具体例子说明例题、习题精选的原则.
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| 关 键 词： | 高等代数 二次型 正定二次型 习题课 |
Brief Talk on the Design of an Exercise Lesson of the Quadratic Form of Positive Definite |
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| YAN Wen-li.Brief Talk on the Design of an Exercise Lesson of the Quadratic Form of Positive Definite[J].College Mathematics,2010,26(5). |
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| Authors: | YAN Wen-li |
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| Abstract: | Quadratic form of positive definite has special place in real quadratic form of Advanced algebra.In this paper,we will provide a design of an exercise lesson on quadratic form of positive definite from four aspects:review of the concepts;judgement of the quadratic form of positive definite and the positive definite matrix;properties of the quadratic form of positive definite and the positive definite matrix and other kinds of quadratic form.And we also show the principle of how to select suitable examples and exercises by our concrete examples. |
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| Keywords: | advanced algebra quadratic form quadratic form of positive definite exercise lessons |
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