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中文摘要：
如何处理好习题课是当前形势下线性代数教学中值得关注的一个方面。矩阵的秩是线性代数的一个重要概念。与矩阵的秩相关的证明题是非常难的，掌握它们的证明能很好地培养学生数学思维能力。本文将重点介绍在习题课教学中，矩阵标准形的概念在矩阵秩的相关证明题中的应用。通过推导矩阵秩的分解定理来引导学生对基础知识的应用，加深概念的理解。
英文摘要：
How to handle the recitation is the current situation in linear algebra teaching one aspect worthy of attention.Matrix rank is an important concept in linear algebra.Proof of matrix rank of related problem is very difficult to grasp the proof that they can cultivate students＇ mathematical thinking ability.This article focuses on in the recitation teaching,the concept of matrix canonical form in the application of matrix rank related certificate.Through the decomposition theorem of matrix rank is derived to guide the student to the basic knowledge of application,to deepen the understanding of the concept.
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