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1、LinearAlgebrawithApplicationsEighthEditionStevenJ.LeonUniversityofMassachusetts,DartmouthBostonColumbusIndianapolisNewYorkSanFranciscoUpperSaddleRiverAmsterdamCapeTownDubaiLondonMadridMilanMunichParisMontrealTorontoDelhiMexicoCitySaoPauloSydneyHongKongSeoulSingaporeTaipeiTokyoLibraryofCongressC
2、ataloging-in-PublicationDataLeon,StevenJ.Linearalgebrawithapplication/StevenJ.Leon.--8thed.p.cm.Includesbibliographicalreferencesandindex.ISBN978-0-13-600929-01.Algebras,Linear--Textbooks.I.Title.QA184.2.L462010512.5--dc222009023730Editor-in-Chief:DeirdreLynchSeniorAcquisitionsEditor:WilliamHof
3、fmanAssociateEditor:CarolineCelanoProjectManager,Production:RobertMerenoffAssociateManagingEditor:BayaniMendozadeLeonSeniorManagingEditor:LindaMihatovBehrensSeniorOperationsSupervisor:EvelynBeatonOperationsSpecialist:IleneKahn/CarolMelvilleExecutiveMarketingManager:JeffWeidenaarMarketingAssista
4、nt:KendraBassiSeniorDesignSupervisor:AndreaNixCompositor:DennisKletzingArtstudio:LaserwordsPrivateLimitedCoverDesigner:BarbaraT.AtkinsonPhotographer:JohnFaierPhotographyCoverImage:ModernWingoftheArtInstituteofChicagoCopyrightc2010,2006,2002,2000byPearsonEducation,Inc.PearsonPrenticeHallPearson
5、Education,Inc.UpperSaddleRiver,NJ07458Allrightsreserved.Nopartofthisbookmaybereproduced,inanyformorbyanymeans,withoutpermissioninwritingfromthepublisher.PearsonPrenticeHallTMisatrademarkofPearsonEducation,Inc.PrintedintheUnitedStatesofAmerica10987654321ISBN-13:978-0-13-600929-0ISBN-10:0-13-6009
6、29-8PearsonEducationLtd.,LondonPearsonEducationAustraliaPTY,Limited,SydneyPearsonEducationSingapore,Pte.Ltd.PearsonEducationNorthAsia,Ltd.,HongKongPearsonEducationCanada,Ltd.,TorontoPearsonEducaciondeMexico,S.A.deC.V.´PearsonEducation–Japan,TokyoPearsonEducacionMalaysia,Pte.LtdPearsonEducationU
7、pperSaddleRiver,NewJerseyTothememoriesofFlorenceandRudolphLeon,devotedandlovingparentsandtothememoriesofGeneGolub,GermundDahlquist,andJimWilkinson,friends,mentors,androlemodelsThispageintentionallyleftblankContentsPrefaceix1Matric
