MATLAB在矩阵中的应用.doc

摘 要 本文介绍了MATLAB在矩阵中的应用。首先，从软件的发展史、功能、特点等方面对MATLAB的发展做了详细的介绍；其次，论述了MATLAB应用于矩阵的必要性和现实意义；然后介绍了该软件对矩阵的各种应用，由于该软件比其他计算软件易操作，功能强大，特别适合做大量计算，所以本文主要从MATLAB在矩阵计算上的应用为例进行论述。分别从简单的矩阵生成及简单的运算和如何在不同情况下计算矩阵的特征值及用元胞数组的方法进行矩阵的大量计算来论述MATLAB在矩阵中的应用，同时给出用于计算的函数及其作用；最后，总结了基于MATLAB这个软件在矩阵中的影响及其推动作用。 关键词:MATLAB，矩阵，矩阵函数，元胞数组 Application of MATLAB in the matrix Abstract：This article describes the application of MATLAB in the matrix.First, from the history of the development of software, functions, features and other aspects of the development of a detailed MATLAB introduction; Second, MATLAB applies matrices discussed the necessity and significance; then introduced the software applications on the matrix, The software is easy to operate than other calculation software, powerful, particularly suitable for a large number of calculations, so this paper, the calculation in the matrix from the MATLAB application example were discussed. Matrices were generated from a simple and easy operation in different situations and how to calculate eigenvalues ??and using the method of cell matrix array of a large number of calculations to prove the application of MATLAB in the matrix, which describes the many used in the calculations function and its role; Finally, the summary of the software based on MATLAB in the matrix and its catalytic role. Keywords :MATLAB, matrices, matrix functions, cell array 目 录 一、引言 ………………………………………………………………………1 二、MATLAB的介绍 ……………………………………………………………1 三、MATLAB在矩阵中的基础应用 ……………………………………………2 （一）构造矩阵…………………………………………………………2 1.简单构造方法 ……………………………………………………………2 2.构造特殊矩阵 ……………………………………………………………3 3.变换矩阵结构的命令 ……………………………………………………4 4.聚合矩阵 …………………………………………………………………5 （二）获取矩阵的相关信息 …………………………………………………6 1.获取矩阵的某个元素或数个元素 ……………………………………6 2.求矩阵共轭转置的命令 …………………………………………………7 3.获取矩阵的形状和大小信息 ……………………………………………8 （三）矩阵简单的运算…………………………………………………………9 1.矩阵的基本运算…………………………………………………………9 2.矩阵求逆和除法运算……………………………………………………10 3.矩阵函数和计算函数……………………………………………………10 四、用MATLAB在解决矩阵特征值的应用……………………………………12 1.