Index of /gerlach.1/math5101/5101lecturenotes

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[PARENTDIR]Parent Directory  -  
[   ]BatRadar.pdf2015-11-18 22:51 2.2M 
[   ]DualOfAVectorSpace.pdf2016-09-23 17:15 281K 
[   ]Lecture7-theDualVectorSpace.pdf2015-08-26 08:57 795K 
[   ]lecture1.pdf2015-08-26 08:57 4.1M 
[   ]lecture1ThreeArchetypesExamplesDefnOfaVectorSpaceMoreExamples.pdf2015-08-26 08:57 2.5M 
[   ]lecture2.pdf2015-08-26 08:57 4.3M 
[   ]lecture2TheSubspaceTheoremSpanningSet.pdf2015-08-31 00:11 2.9M 
[   ]lecture2observationalOriginOfVectorSpaces.pdf2015-08-30 20:00 25K 
[   ]lecture3.pdf2015-08-26 08:57 3.7M 
[   ]lecture3HierarchyOfConceptsLinearIndependenceBasisCoordinates.pdf2015-08-31 20:47 3.4M 
[   ]lecture4.pdf2015-08-26 08:57 3.7M 
[   ]lecture4CoordinateReprestativeRelativeToAChosenOrGivenBasis.pdf2015-08-27 22:14 3.1M 
[   ]lecture5.pdf2015-08-26 08:57 2.9M 
[   ]lecture5Basis-inducedIsomorphismPreservationOfLinearStructure.pdf2015-09-06 22:54 1.8M 
[   ]lecture6.pdf2015-08-26 08:57 790K 
[   ]lecture6PrologemenonStructurePreservationDimensionDependenceAndIndependence.pdf2015-09-09 15:39 3.7M 
[   ]lecture7-10TypesetDualOfAVectorSpace.pdf2015-09-11 16:15 278K 
[   ]lecture7.pdf2015-08-26 08:57 6.0M 
[   ]lecture8.pdf2015-08-26 08:57 4.0M 
[   ]lecture8appendix.pdf2015-08-26 08:57 5.4M 
[   ]lecture9.pdf2015-08-26 08:57 2.3M 
[   ]lecture10.pdf2015-08-26 08:57 5.5M 
[   ]lecture11.pdf2015-08-26 08:57 3.7M 
[   ]lecture11TransformationsOntoVsOne-to-oneRangespaceNullspace.pdf2015-09-22 21:08 3.1M 
[   ]lecture12.pdf2015-08-26 08:57 3.3M 
[   ]lecture12AppendixXformBetweenVectorSpacesInducesTransposeXformBetwTheirDuals.pdf2015-08-26 08:57 2.9M 
[   ]lecture12SHOdrivenByPeriodicForces.pdf2016-09-23 11:55 751K 
[   ]lecture12T-inducedBasisProperties_DimensionalConsistency_DomainAsADirectSum.pdf2015-09-22 21:16 3.9M 
[   ]lecture13.pdf2015-08-26 08:57 4.1M 
[   ]lecture13_OperationsWithLinearTransformations.pdf2015-09-22 21:24 2.9M 
[   ]lecture14-AnOverview.pdf2015-09-30 07:18 218K 
[   ]lecture14.pdf2015-08-26 08:57 2.1M 
[   ]lecture14InvertibilityIsUniqueImpliesOntoAndOnetoOne.pdf2015-09-30 07:17 2.8M 
[   ]lecture15.pdf2015-08-26 08:57 4.8M 
[   ]lecture15IsomorphicVectorSpacesViaEqualDimensionality.pdf2015-09-27 11:47 3.0M 
[   ]lecture16.pdf2015-08-26 08:57 2.2M 
[   ]lecture16TheRepresentationTheoremHowToFindBasesForNullSpaceAndRangeSpace.pdf2015-09-27 11:49 1.7M 
[   ]lecture17.pdf2015-08-26 08:57 2.8M 
[   ]lecture17CoordinateRepresentativeOfaCompositeTransformation.pdf2015-10-04 21:14 2.5M 
[   ]lecture18CoordinateRepresentationOfAnInvertibleTransformation.pdf2015-10-06 22:14 2.7M 
[   ]lecture19.pdf2015-08-26 08:57 3.6M 
[   ]lecture19TransitionMatrixExemplifiedDefinedDiscussedItsEffectOnALinearXformation.pdf2015-10-04 21:15 2.4M 
[   ]lecture20LinearTransformationItsCoordinateRepresentatives.pdf2015-10-11 22:39 3.3M 
[   ]lecture20appendix.pdf2015-08-26 08:57 3.0M 
[   ]lecture21.pdf2015-08-26 08:57 3.9M 
[   ]lecture21ActiveVsPassivePerspective2016.pdf2016-10-11 23:37 1.6M 
[   ]lecture21PassiveVsActivePerspectivesRigidRotationMathematizedByOrthogonalMatrix.pdf2015-10-16 01:55 2.2M 
[   ]lecture21appendix.pdf2015-08-26 08:57 2.6M 
[   ]lecture22+1InvtSubspacesDirectSumCoordRepveRelativeToAnInvtSubspace.pdf2015-10-22 21:29 1.9M 
[   ]lecture22Appendix-DeterminantsAndInverseViaLeviCivitaSymbol.pdf2015-10-16 01:56 1.5M 
[   ]lecture22RelationBetweenPassiveAndActivePerspectivesLeviCivitaSymbol.pdf2015-10-16 01:55 1.3M 
[   ]lecture22_revisedRelationBetweenPassiveAndActivePerspectivesDefnOfLeviCivitaSymbol.pdf2015-10-19 23:04 1.1M 
[   ]lecture23+1EigenvectorsOnInvtSubspacesSolvingLx=a.pdf2015-10-22 21:29 2.1M 
[   ]lecture24+1InvarianceViaCommutativityEigenbasisTheAllOrNothingTheorem.pdf2015-10-22 21:29 2.6M 
[   ]lecture25.pdf2015-08-26 08:57 2.7M 
[   ]lecture25InnerProductSpacesMotivationDefinitionExamplesApplication.pdf2015-11-04 07:46 2.4M 
[   ]lecture26.pdf2015-08-26 08:57 3.2M 
[   ]lecture26GramSchmidtObliqueAndOrthogonalBases.pdf2015-11-04 07:46 3.0M 
[   ]lecture27.pdf2015-08-26 08:57 1.9M 
[   ]lecture28.pdf2015-08-26 08:57 3.2M 
[   ]lecture28RigidXformActiveVsPassiveAgain.pdf2015-11-09 08:10 4.8M 
[   ]lecture29.pdf2015-08-26 08:57 3.1M 
[   ]lecture29LeastSquaresApproximation.pdf2015-11-09 08:10 10M 
[   ]lecture30.pdf2015-08-26 08:57 3.3M 
[   ]lecture30LeastSquaresNormalEqationSubspaceMatrix.pdf2015-11-09 08:10 2.0M 
[   ]lecture31.pdf2015-08-26 08:57 2.7M 
[   ]lecture31TheFourFundamentalSubspacesRowRank=ColumnRankDirectSumDecompositionOfDomainAndTargetSpaces.pdf2015-11-09 08:11 2.9M 
[   ]lecture31rowRank=columnRank.pdf2015-08-26 08:57 32K 
[   ]lecture32.pdf2015-08-26 08:57 4.0M 
[   ]lecture32TimeInvariantlinearSystemsTwoSolutionMethods.pdf2015-11-18 21:51 2.8M 
[   ]lecture33.pdf2015-08-26 08:57 4.5M 
[   ]lecture33DiagonalFormOfaMatrixHamiltonsTheoremDiagonalizableMatrices.pdf2015-11-18 21:53 3.6M 
[   ]lecture33appendix.pdf2015-08-26 08:57 2.0M 
[   ]lecture34.pdf2015-08-26 08:57 2.8M 
[   ]lecture34DecouplingTheDegreesOfFreedomOfADiagonalizableSystem.pdf2015-11-18 21:54 1.7M 
[   ]lecture34appendix.pdf2015-08-26 08:57 2.3M 
[   ]lecture35.pdf2015-08-26 08:57 4.2M 
[   ]lecture35HermetianAdjointHermetianOperatorsAndTheirProperties.pdf2015-11-18 22:09 3.3M 
[   ]lecture36.pdf2015-08-26 08:57 4.7M 
[   ]lecture36appendix.pdf2015-08-26 08:57 733K 
[   ]lecture37.pdf2015-08-26 08:57 3.3M 
[   ]lecture37TriangularizationViaUnitarytransformation.pdf2015-11-27 23:08 3.2M 
[   ]lecture38.pdf2015-08-26 08:57 1.2M 
[   ]lecture38NormalMatricesNormality=diagonalizabilityViaunitarySimilarityXformation.pdf2015-11-27 23:09 1.8M 
[   ]lecture39.pdf2015-08-26 08:57 4.4M 
[   ]lecture39AppendixApplicationToVibratingSystem.pdf2015-12-03 22:19 189K 
[   ]lecture39QuadraticFormsPositiveDefiniteMatricesGeometryAndApplicationToVibratingSystems.pdf2015-12-03 22:19 2.6M 
[   ]lecture39appendixA.pdf2015-08-26 08:57 525K 
[   ]lecture39appendixB.pdf2015-08-26 08:57 811K 
[   ]lecture40.pdf2015-08-26 08:57 4.4M 
[   ]lecture40TheEigenvalueProblemAsAnExtremumPrincipleForTheNormalModesOfAVibratingSystem.pdf2015-12-03 22:19 2.1M 
[   ]lecture41.pdf2015-08-26 08:57 3.9M 
[   ]lecture41AppendixPeriodicResonantSystems.pdf2015-12-03 22:20 4.9M 
[   ]lecture41SimultaneousDiagonalizationofTwoQuadratiFormsNormalModesOfACoupledSystemB-orthonormality.pdf2015-12-03 22:20 3.2M 
[   ]lecture41appendixA.pdf2015-08-26 08:57 4.8M 
[   ]lecture42-SVD.pdf2015-08-26 08:57 518K