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1、Matrices:TheoryandApplicationsDenisSerreSpringerGraduateTextsinMathematics216EditorialBoardS.AxlerF.W.GehringK.A.RibetThispageintentionallyleftblankDenisSerreMatricesTheoryandApplicationsDenisSerreEcoleNormaleSupe´rieuredeLyonUMPALyonCedex07,F-69364FranceDenis.SERRE@umpa.ens-lyon.frEd
2、itorialBoard:S.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerkeleySanFrancisco,CA94132AnnArbor,MI48109Berkeley,CA94720-3840USAUSAUSAaxler@sfsu.edufgehring@math.ls
3、a.umich.eduribet@math.berkeley.eduMathematicsSubjectClassification(2000):15-01LibraryofCongressCataloging-in-PublicationDataSerre,D.(Denis)[Matrices.English.]Matrices:theoryandapplications/DenisSerre.p.cm.—(Graduatetextsinmathematics;216)Includesbibliographicalreferencesandindex.ISBN0
4、-387-95460-0(alk.paper)1.MatricesI.Title.II.Series.QA188.S47132002512.9′434—dc212002022926ISBN0-387-95460-0Printedonacid-freepaper.TranslatedfromLesMatrices:The´orieetpratique,publishedbyDunod(Paris),2001.2002Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorco
5、piedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftwar
6、e,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheU
7、nitedStatesofAmerica.987654321SPIN10869456Typesetting:PagescreatedbytheauthorinLaTeX2e.www.springer-ny.comSpringer-VerlagNewYorkBerlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHToPascaleandJoachimThispageintentionallyleftblankPrefaceThestudyofmatricesoccupiesasingu
8、larpl