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1、UndergraduateTextsinMathematicsSheldonAxlerLinearAlgebraDoneRightThirdEditionUndergraduateTextsinMathematicsUndergraduateTextsinMathematicsSeriesEditors:SheldonAxlerSanFranciscoStateUniversity,SanFrancisco,CA,USAKennethRibetUniversityofCalifornia,Berkeley,CA,USAAdvisoryB
2、oard:ColinAdams,WilliamsCollege,Williamstown,MA,USAAlejandroAdem,UniversityofBritishColumbia,Vancouver,BC,CanadaRuthCharney,BrandeisUniversity,Waltham,MA,USAIreneM.Gamba,TheUniversityofTexasatAustin,Austin,TX,USARogerE.Howe,YaleUniversity,NewHaven,CT,USADavidJerison,Mass
3、achusettsInstituteofTechnology,Cambridge,MA,USAJeffreyC.Lagarias,UniversityofMichigan,AnnArbor,MI,USAJillPipher,BrownUniversity,Providence,RI,USAFadilSantosa,UniversityofMinnesota,Minneapolis,MN,USAAmieWilkinson,UniversityofChicago,Chicago,IL,USAUndergraduateTextsinMathe
4、maticsaregenerallyaimedatthird-andfourth-yearundergraduatemathematicsstudentsatNorthAmericanuniversities.Thesetextsstrivetoprovidestudentsandteacherswithnewperspectivesandnovelapproaches.Thebooksincludemotivationthatguidesthereadertoanappreciationofinterrelationsamongdif
5、ferentaspectsofthesubject.Theyfeatureexamplesthatillustratekeyconceptsaswellasexercisesthatstrengthenunderstanding.Forfurthervolumes:http://www.springer.com/series/666SheldonAxlerLinearAlgebraDoneRightThirdedition123SheldonAxlerDepartmentofMathematicsSanFranciscoStateUni
6、versitySanFrancisco,CA,USAISSN0172-6056ISSN2197-5604(electronic)ISBN978-3-319-11079-0ISBN978-3-319-11080-6(eBook)DOI10.1007/978-3-319-11080-6SpringerChamHeidelbergNewYorkDordrechtLondonLibraryofCongressControlNumber:2014954079MathematicsSubjectClassification(2010):15-01,1
7、5A03,15A04,15A15,15A18,15A21cSpringerInternationalPublishing2015Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reprod
8、uctiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformationstorageandretrieval,electronicadap