引言..................................... 错误!未定义书签。
一、行列式的定义及性质................... 错误!未定义书签。
（一）行列式的定义及相关公式.......... 错误!未定义书签。
（二）n级行列式的性质：............... 错误!未定义书签。
二、行列式的计算......................... 错误!未定义书签。
（一）行列式的基本计算方法............ 错误!未定义书签。
1、定义法: ......................... 错误!未定义书签。
2、三角形法：...................... 错误!未定义书签。
3、降阶法: ......................... 错误!未定义书签。
4、换元法：........................ 错误!未定义书签。
5、递推法：........................ 错误!未定义书签。
6、数学归纳法：.................... 错误!未定义书签。
7、目标行列式法：.................. 错误!未定义书签。
（二）行列式的辅助计算方法............ 错误!未定义书签。
1、加边法：........................ 错误!未定义书签。
2、析因子法：...................... 错误!未定义书签。
3、连加法：........................ 错误!未定义书签。
4、拆项法: ......................... 错误!未定义书签。
5、乘积法：........................ 错误!未定义书签。结束语................................... 错误!未定义书签。参考文献：. (26)
行列式的计算方法
摘要行列式是线性代数理论中极其重要的组成部分，是高等数学的一个基本的概念。行列式产生于解线性方程组中，并且也是最早应用于解线性方程组中，并且在其他学科分支都有广泛的应用，可以说它是数学、物理学以及工科许多课程的重要学习工具。行列式也为解决实际问题带来了许多方便。本文针对行列式这一数学工具，进行系统讨论，从不同的角度理解了行列式的定义，重点证明了行列式性质，介绍一些展开定理，总结了行列式的几种计算方法，如定义法、三角形法、降阶法、换元法、递推法、数学归纳法及目标行列式法。辅助方法有：加边法、析因子法、乘积法、连加法、拆项法等，并结合例题说明行列式计算的技巧性和灵活性。
关键词行列式，计算方法，线性方程组。
The Calculation of Determinant
LiuHui
(College of Mathematics and Physics Bohai University Liaoning Jinzhou 121000 China)
Abstract The determinant is the extremely important constituent in the linear algebra theory, it is a basic concept of higher mathematics. The determinant is evolved from and solved the linear equation group, and is applied to solve in the linear equation group first, moreover all has the widespread application in other discipline branches, we can say that it is an important study tool which in mathematics, the physics as well as the engineering course many curricula. The determinant also brought about convenient for the solution actual problem. This article in view of the determinant this mathematical instrument, carries on the system discussion, had understood from the different angle to the determinant definition, had proven the nature of the determinant on emphasis, introduced some expansion theorem, summarized several computational methods of the determinant, such as defining the law, triangular law, lower the steps law, change yuans of law, is it push away law , mathematical induction and goal determinant law to pass, The householder method is as follows, add the law , analyse the factor law , product law, even the addition, dismantle a law and so on, and union sample question showing determinant computation skill and the flexibility.
Key words Order determinat; Computing technology ; Line shape equation group.
