4.5分(高于98%的文档) |458|86
|近年来,随着科技的日新月异和蓬勃发展,电子计算机的普遍使用,理论研究的深入,矩阵理论的使用和熟悉度越来越高。因为矩阵的方法在处理问题时有既简洁又明了的优点,因而越来越得到人们普遍的重视,矩阵的方法必将成为探索新理论的重要工具。特别近二十年来,在气象统计,流体力学,数值预报,大气动力学以及统计动力学等领域中的应用日益广泛。而只要谈到矩阵一定会谈到逆矩阵,在应用的过程中更会不可避免的用到逆矩阵,所以判断一个矩阵是否可逆是非常重要的,本论文就主要在围绕矩阵可逆的若干判别方法进行讨论,先对以往学过的逆矩阵的知识做好总结从而打好基础,再总结本科期间学习过的 判别矩阵可逆的方法 ,最后再引申出课本之外的判别矩阵可逆的方法。从而使今后在实践运用矩阵的过程中更加的方便。In recent years, with rapid development of science and technologyas well as the widespread use of electronic computer and the in-depththeoretical research, the use of matrix theory is increasing and gains apopularity among the public Due to the fact that the method of matrixmethod is both brief and clear in dealing with the problems, it attractsmore and more attention among people, which will must be animportant tool to explore new theories Especially in recent 20 years, it iswidely applied in the field of meteorological statistics, fluid mechanics,numerical prediction, atmospheric dynamics and statistical dynamicsBesides, when it comes to matrix, inverse matrix must be talking aboutas well because that it is inevitable to be used in the process ofapplication Therefore, it is important to estimate whether a matrix isreversible The passage is mainly discussing several discriminantmethods of invertiblematrix First, it lays a solid foundation onsummarizing relevant knowledge I learned Then the discriminantmethods of invertiblematrix we learned during the undergraduate studyshould be summarized At last, extending other discriminant methods