| 浅谈矩阵秩的定义的教学 |
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| 引用本文： | 赵正俊.浅谈矩阵秩的定义的教学[J].安庆师范学院学报(自然科学版),2014(2):110-111. |
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| 作者姓名： | 赵正俊 |
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| 作者单位： | 安庆师范学院 数学与计算科学学院,安徽 安庆,246133 |
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| 基金项目： | 国家自然科学基金数学天元基金(11326052)资助 |
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| 摘 要： | 矩阵的秩是线性代数中一个基本的概念，它在矩阵理论和线性空间理论中占有基本的重要性。本文从Syl-vester关于矩阵秩的定义出发，结合秩的几何意义，探讨矩阵秩的定义的教学，以便学生更好地理解这一较为抽象的概念，从而提高教学效果。
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| 关 键 词： | 矩阵的秩 k阶子式 向量空间 |
Remarks on the Definitions of the Rank of Matrix |
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| ZHAO Zheng-jun.Remarks on the Definitions of the Rank of Matrix[J].Journal of Anqing Teachers College(Natural Science Edition),2014(2):110-111. |
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| Authors: | ZHAO Zheng-jun |
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| Institution: | ZHAO Zheng-jun (School of Mathematics and Computational Science, Anqing Teachers College, Anqing 246133, China) |
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| Abstract: | In linear algebra, the rank of a matrix is a measure of the system of linear equations and linear transformation enco-ded by matrix.The rank is one of the fundamental pieces of data associated with a matrix , and thus it holds an important position in the theory of matrix and linear space.In this paper, we mainly focus on the several definitions of the rank of a matrix so as to facilitate students’ understanding of this abstract definition. |
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| Keywords: | rank of a matrix minor vector space |
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