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1、R.B.BapatLinearAlgebraandLinearModelsThirdEditionProf.R.B.BapatIndianStatisticalInstituteNewDelhiIndiaAco-publicationwiththeHindustanBookAgency,NewDelhi,licensedforsaleinallcountriesoutsideofIndia.SoldanddistributedwithinIndiabytheHindustanBookAgency,P19GreenParkExtn.,NewDelhi110016,India©Hindus
2、tanBookAgency2011HBAISBN978-93-80250-28-1ISSN0172-5939e-ISSN2191-6675UniversitextISBN978-1-4471-2738-3e-ISBN978-1-4471-2739-0DOI10.1007/978-1-4471-2739-0SpringerLondonDordrechtHeidelbergNewYorkBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryLi
3、braryofCongressControlNumber:2012931413MathematicsSubjectClassification:15A03,15A09,15A18,62J05,62J10,62K10Firstedition:1993byHindustanBookAgency,Delhi,IndiaSecondedition:2000bySpringer-VerlagNewYork,Inc.,andHindustanBookAgency©Springer-VerlagLondonLimited2012Apartfromanyfairdealingforthepurposes
4、ofresearchorprivatestudy,orcriticismorreview,asper-mittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublish-ers,orinthecaseofreprographicreproductioninaccordancewiththetermsoflicenses
5、issuedbytheCopyrightLicensingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.Theuseofregisterednames,trademarks,etc.,inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantlawsandregulationsandthereforefreeforgene
6、raluse.Thepublishermakesnorepresentation,expressorimplied,withregardtotheaccuracyoftheinformationcontainedinthisbookandcannotacceptanylegalresponsibilityorliabilityforanyerrorsoromissionsthatmaybemade.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceTh
7、emainpurposeofthepresentmonographistoprovidearigorousintroductiontothebasicaspectsofthetheoryoflinearestimationandhypothesistesting.Thenec-essaryprerequisitesinmatrices,multivariatenormaldistribution,anddistributionofquadrat
