A First Course In Linear Algebra

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1、AFirstCourseinLinearAlgebraAFirstCourseinLinearAlgebrabyRobertA.BeezerDepartmentofMathematicsandComputerScienceUniversityofPugetSoundVersion2.01RobertA.BeezerisaProfessorofMathematicsattheUniversityofPugetSound,wherehehasbeenonthefacultysince1984.Here

2、ceivedaB.S.inMathematics(withanEmphasisinComputerScience)fromtheUniversityofSantaClarain1978,aM.S.inStatisticsfromtheUniversityofIllinoisatUrbana-Champaignin1982andaPh.D.inMathematicsfromtheUniversityofIllinoisatUrbana-Champaignin1984.Heteachescalculu

3、s,linearalgebraandabstractalgebraregularly,whilehisresearchinterestsincludetheapplicationsoflinearalgebratographtheory.Hisprofessionalwebsiteisathttp://buzzard.ups.edu.EditionVersion2.01.September10,2008.PublisherRobertA.BeezerDepartmentofMathematicsa

4、ndComputerScienceUniversityofPugetSound1500NorthWarnerTacoma,Washington98416-1043USAc2004byRobertA.Beezer.Permissionisgrantedtocopy,distributeand/ormodifythisdocumentunderthetermsoftheGNUFreeDocumentationLicense,Version1.2oranylaterversionpublishedbyt

5、heFreeSoftwareFoundation;withnoInvariantSections,noFront-CoverTexts,andnoBack-CoverTexts.AcopyofthelicenseisincludedintheappendixentitledGNUFreeDocumentationLicense".Themostrecentversionofthisworkcanalwaysbefoundathttp://linear.ups.edu.Tomywife,Pat.C

6、ontentsTableofContentsviContributorsviiDenitionsviiiTheoremsixNotationxDiagramsxiExamplesxiiPrefacexiiiAcknowledgementsxixPartCCoreChapterSLESystemsofLinearEquations2WILAWhatisLinearAlgebra?................................2LALinear"+Algebra".......

7、.........................2AAAnApplication....................................3READReadingQuestions................................7EXCExercises......................................8SOLSolutions.......................................9SSLESolvingSystem

8、sofLinearEquations..........................10SLESystemsofLinearEquations............................10PSSPossibilitiesforSolutionSets............................11ESEOEquivalentSystemsandEquationOperations..................12READReadingQuesti