幾類特殊矩陣的性質(zhì)的探討論文(已修改)
2025-07-09 17:24 本頁面
【正文】 幾類特殊矩陣的性質(zhì)的探討摘要 隨著特殊矩陣的應(yīng)用越來越廣泛，人們對特殊矩陣的性質(zhì)的研究也越來越深入。相應(yīng)的，越來越多有關(guān)特殊矩陣的論文和期刊也層出不窮的發(fā)表。 本文主要具體分析了四種特殊矩陣：伴隨矩陣、型矩陣、正交矩陣、冪零矩陣。論文的具體展開如下： 第一章主要介紹特殊矩陣的背景以及發(fā)展?fàn)顩r，加深了我對特殊矩陣的進(jìn)一步認(rèn)識；第二章講述了一些預(yù)備知識，為下文的展開打下基礎(chǔ)；第三章到第六章主要具體的介紹四類特殊矩陣：通過對它們的基本定義和基本性質(zhì)進(jìn)行深入研究并加以證明，我得到了很多有意義的結(jié)論，并將有些結(jié)論加以推廣，以加深我對特殊矩陣更深層次的認(rèn)識，最后對部分性質(zhì)加以應(yīng)用，使我對這些性質(zhì)有了更好的掌握；最后一章對本文做了小結(jié)，并對特殊矩陣的研究加以展望。 特殊矩陣的研究是一個漫長的過程。對于特殊矩陣的研究只有通過大家的共同努力才能使特殊矩陣的理論更加完善，知識更加系統(tǒng)。關(guān)鍵詞：特殊矩陣；伴隨矩陣；型矩陣；正交矩陣；冪零矩陣THE DISCUSSION OF THE PROPERTIES ABOUT SEVERAL KINDS OF SPECIAL MATRIX ABSTRACTThe study on the properties of special matrix is being more and more deeply with the application of special matrix being more and more , more and more papers and journals about the special matrix has been also published.This article mainly analyzes four kinds of special matrix: adjoint matrix, matrix,orthogonal matrix and nilpotent elaborated on the following:The first chapter mainly introduced the background and development status of special deepened my further understanding of special matrix。The second chapter told the story of some preliminary knowledge in order to lay a foundation for the rest of the the third chapter to the sixth chapter, I mainly introduced the four types of special matrix in detail:I got a lot of meaningful conclusion based on the indepth study and proving about the basic definition and extended some conclusions to deepen my understanding of special have a better master of these properties,I applied some natures the last chapter of this article,I made a summary, and I also did a research about the study of special matrix.The study of special matrix is a long order to make special matrix theory be more perfect and the knowledge be more systematic,the only way is that we have to bine all of the efforts of the research on the special matrix.Key words: special matrix。 adjoint matrix。 matrix。 orthogonal matrix。 nilpotent matrix目錄1 緒論………………..…………………………….……………………………….1 課題背景………..…………………………….……………………………1 研究內(nèi)容及構(gòu)成………..……………………….……………………………12 預(yù)備知識……..…………………………….…………………………………….3 符號說明……..…………………………….……………………………….3 基本定義……..………………………………….………………………….33 伴隨矩陣……..…………………………….…………………………………….5 伴隨矩陣的
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