| 线性代数中"聚零为整,化整为零"的思想 |
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| 引用本文： | 杨贤仆.线性代数中"聚零为整,化整为零"的思想[J].西南师范大学学报(自然科学版),2009,34(5). |
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| 作者姓名： | 杨贤仆 |
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| 作者单位： | 重庆三峡学院,数学与计算机科学学院,重庆,万州,404000 |
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| 摘 要： | 用"分"与"合"的辩证观点,从思想方法上分析了矩阵及其运算与线性方程组、向量、特征值、特征向量之间的内在联系.并从具体的表示规律上进行总结,以加强学生在学习线性代数中发散思维的训练与培养.
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| 关 键 词： | 化整为零 聚零为整 思想方法 矩阵 线性方程组 向量 特征值 特征向量 |
The Thinking Method of "Breaking up the Whole into Parts and Gathering Parts into the Whole" in Linear Algebra |
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| YANG Xian-pu.The Thinking Method of "Breaking up the Whole into Parts and Gathering Parts into the Whole" in Linear Algebra[J].Journal of Southwest China Normal University(Natural Science),2009,34(5). |
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| Authors: | YANG Xian-pu |
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| Abstract: | It is discussed in the essay that the inner link among matrix and its operation, system of linear equations, vector, characteristic value and characteristic vector can be found by using the thinking method and the dialectical viewpoint of "breaking up and gathering", and then examples are given for the application of the method. In this way, students can get practice in forming divergent thinking in learning linear algebra and thus form the ability. |
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| Keywords: | breaking up the whole into parts gathering parts into the whole thinking method matrix system of linear equations vector characteristic value characteristic vector |
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