本文通过与实际中的问题相结合介绍线性代数中一些基本概念，包括线性方程组、矩阵、行列式、特征值和特征向量，在已经有了这些概念的基础上，从实际问题出发，探究这些概念理论的产生过程及实际存在的意义。并给出这些代数概念在实际生活中的具体用途。考虑代数内容的抽象性，在对具体的抽象性的分析基础上，探讨代数的抽象性的实际意义，将整个抽象性清晰化，从而获取可能更好地理解代数抽象性的途径

This article introduces some basic concepts in linear algebra by combining with practical problems, including linear equations, matrices, determinants, eigenvalues, and eigenvectors.Starting from practical problems,we explore the production process of these conceptual theories and the significance of their actual existence based on these concepts. We consider the abstraction of algebraic content,and discuss the practical significance of algebraic abstraction on the basis of the analysis of concrete abstraction.Finally we clarify the entire abstraction, so as to obtain a way to better understand algebraic abstraction.