行列式计算方法附其在线性方程组中应用毕业课题论文.docVIP

本科生毕业论文 题 目： 行列式的计算方法及其在线性方程组中的应用 摘 要 《高等代数》是数学专业学生的一门必修基础课程。行列式的计算是高等代数中的重点、难点，特别是n阶行列式的计算，学生在学习过程中，普遍存在很多困难，难于掌握。计算n阶行列式的方法很多，但具体到一个题，要针对其特征，选取适当的方法求解。当看到一个貌似非常复杂的n阶行列式时，仔细观察，会发现其实它们的元素在行或列的排列方式上都有某些规律。掌握住这些规律，选择合适的计算方法，能使我们在极短的时间内达到事半功倍的效果！本文首先介绍n阶行列式的定义、性质，再归纳总结行列式的各种计算方法、技巧及其在线性方程组中的初步应用。行列式是线性方程组理论的一个组成部分，是中学数学有关内容的提高和推广。它不仅是解线性方程组的重要工具，而且在其它一些学科分支中也有广泛的应用。 关键词：n阶行列式 计算 方法 归纳线性方程组 ABST RACT Algebra is a courses of mathematics specialized compulsory of the basic mathematic. The determinants calculation is the most difficulty in higher algebra, especially, the n order determinants calculation , alway is students difficulty in the learning process, so ,it is difficult to master for ours . There are a lot of calculations of n order determinant in method , but when we say a problem of the calculation of n order determinant, according to its characteristics, selecting the appropriate method to solving is a very good idea. When you see a seemingly so complex n order determinant, we should observe them carefully,and we will find that their elements are arranged in rows or columns have some regularity. Grasping of these laws, finding a appropriate calculation method,it can help us to achieve a multiplier effect in a very short time! This paper mainly introduces the definition of n order determinant, nature, and calculation methods, the skills of calculation of n order determinant and application in linear equation group. Determinant is an important theory in linear equations and it is an indispensable part of linear equations, determinant is also the middle school mathematics content raise and promotion. It is not only the solution of linear equations of the important tool, but also in some other branch has a wide range of applications. Key words: n order determinant calculation method induce linear equations 目 录 引言……………………………………………………… 1 1 阶行列式的定义……………………………………… 3 2 阶行列式的性质……………………………………… 3