矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用

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1、07121001古國(guó)寶矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用西安電子科技大學(xué)矩陣論大作業(yè)論文題目：矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用所在院系數(shù)學(xué)與統(tǒng)計(jì)學(xué)院姓名古國(guó)寶學(xué)號(hào)07121001指導(dǎo)教師尹小艷結(jié)課時(shí)間2014年10月31日07121001古國(guó)寶矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用論文摘要在社會(huì)科學(xué)中，數(shù)學(xué)的首要應(yīng)用領(lǐng)域無(wú)疑是經(jīng)濟(jì)學(xué)領(lǐng)域。經(jīng)濟(jì)學(xué)在上世紀(jì)的飛速發(fā)展無(wú)疑與其對(duì)數(shù)學(xué)模型和數(shù)學(xué)工具的廣泛和深入的應(yīng)用有密切的關(guān)系。矩陣是數(shù)學(xué)中最重要的概念之一，也是一種重要的數(shù)學(xué)工具，它廣泛地應(yīng)用于自然和社會(huì)科學(xué)的各個(gè)分支。本文側(cè)重點(diǎn)在于研究矩陣在經(jīng)濟(jì)領(lǐng)域中的一些應(yīng)用，開篇

2、首先介紹了矩陣的一些基本概念、分類及性質(zhì)，給出了它的加減法、數(shù)乘、方陣的行列式、矩陣的求逆和分塊等運(yùn)算方法和運(yùn)算規(guī)律，以方便讀者對(duì)后續(xù)知識(shí)的理解；緊接著通過(guò)查閱相關(guān)文獻(xiàn)資料給出了一些典型的跟矩陣相關(guān)的經(jīng)濟(jì)學(xué)背景和模型；最后再給出具體的經(jīng)濟(jì)學(xué)實(shí)例借以說(shuō)明矩陣這一線性代數(shù)工具的實(shí)用價(jià)值。【關(guān)鍵詞】矩陣、運(yùn)算規(guī)律、經(jīng)濟(jì)領(lǐng)域、數(shù)學(xué)模型、應(yīng)用07121001古國(guó)寶矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用【Abstract】Inthesocialsciences,theprimaryapplicationsofmathematicsisundoubted

3、lyineconomics.Thereisnodoubtthattherapiddevelopmentofeconomicsinthelastcenturyhasacloserelationshipwithitsbreadthanddepthofapplicationofmathematicalmodelsandmathematicaltools.Matrixisoneofthemostimportantmathematicalconceptsanditisalsoanimportantmathematicaltooland

4、itiswidelyusedinvariousbranchesofthenaturalandsocialsciences.Inthispaper,thefocusisonsomematrixapplicationsresearchintheeconomic.Inordertofacilitatethereader'sunderstandingofthesubsequentknowledge,theopeningintroducessomebasicconceptsofthematrix,classificationandpr

5、opertiesanditsadditionandsubtraction,multiplication,squaredeterminant,matrixinversionandsub-blocksandotheroperationalmethodsandcalculationrules,followedbysometypicalbackgroundineconomicsandmodelsassociatedwiththematrixathroughareviewoftherelevantliterature.Andfinal

6、lyinordertoillustratethepracticalvalueofthismatrixlinearalgebratools,thispaperalsogivesaspecificeconomicsexamples.【Keywords】Matrix，computationrule,theeconomy,mathematicalmodel,application07121001古國(guó)寶矩陣在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用目錄第1章導(dǎo)論..........................................1第2章矩陣基

7、礎(chǔ)知識(shí)...................................22.1矩陣的概念........................................22.2矩陣的基本運(yùn)算....................................32.2.1矩陣加法...............................................32.2.2矩陣數(shù)乘和相乘........................................42.3矩陣的逆.............

8、..............................5第3章經(jīng)濟(jì)模型中的矩陣...............................63.1商品交換基礎(chǔ)模型..................................63.2最優(yōu)化模型.................