Udemy線上課程 線性代數 (Linear Algebra) (含教材) 講師:Wilson Ren 影音教學 中文發音 繁體中文字幕版(2DVD) Udemy線上課程線性代數(LinearAlgebra)(含教材)講師:WilsonRen影音教學中文發音繁體中文字幕版(2DVD)內容說明: 接近40小時的線性代數課程，帶你一步步學會線性代數的重要觀念和公式，趕快收藏起來!! 線性代數為電腦科學、資訊工程等領域的必修課程，其應用之廣泛，包含機器學習、深度學習、預測模型、電腦圖形處理以及加密系統等等。這堂線性代數課程內容包含基本的線性方程組的基本運算、向量空間、線性獨立、矩陣的可逆性、行列式、施特拉森演算法、線性轉換、還有特徵矩陣以及特徵值的尋找，一步一步帶你認識所有重要的觀念、證明、運算過程與題目解答。不論你的數學基礎為何，都可以有系統性的認識線性代數中的重要理論、公式與計算原理。所有課程中所提到的公式與定理皆有證明過程與對應例子，讓學習有紮實基礎! 另外，課程也包含線性代數在電腦科學中的應用，包含密碼學的加密與解密演算法、圖形與向量處理、2D旋轉壓縮移動矩陣、3D旋轉矩陣、歐拉定理證明等等。這堂課程也包含每個章節的獨立練習題，讓你能夠衡量學習成效與得到充分練習的機會。 課程內容: 01-IntroductiontoLinearAlgebra 001PersonalWebsite.html 002LearningTips.html 003TextbookUse.html 004IntrotoSets.mp4 02-LinearEquations 005SolvingLinearEquations.mp4 006UpperTriangularForm.mp4 007PracticeSolvingLinearEquationSystem.mp4 008SumUp.mp4 0091-1Practice.html 009-Linear-Algebra-1-1-Homework.pdf 010HomeworkAnswer.mp4 011EchelonForm.mp4 012ReducedRowEchelonForm.mp4 013IntrotoGeogebra.mp4 014RREFByHand.mp4 015RREFByHand2.mp4 016FreeandBasicVariables.mp4 017FreeandBasicVariables2.mp4 018(Optional)DeeperUnderstanding.mp4 019IntrotoVector.mp4 020VectorAddition.mp4 021ScalarMultiplicationandVectorSubtraction.mp4 022134UnderstandVectorSubtraction.mp4 023PropertiesofVectors.mp4 024LinearCombinations.mp4 025SpanofVectors.mp4 0263Blue1BrownVideo.html 027ExamplesofSpan.mp4 0281-3Practice.html 028-Linear-Algebra-1-3-Homework.pdf 0291-3HomeworkAnswer.mp4 030MatrixVectorMultiplication.mp4 031PropertiesofAx=b.mp4 032MatrixMultiplication.mp4 0331-4Homework.html 033-Linear-Algebra-1-4-Homework.pdf 0341-4HomeworkSolution.mp4 035Reach-abilityMatrix.mp4 036HomogeneousSystem.mp4 037HomogeneousSystem2.mp4 038153NonhomogenousSystem.mp4 039ChapterReview.mp4 0401-5Homework.html 040-Linear-Algebra-1-5-Homework.pdf 0411-5HomeworkAnswer.mp4 042ApplicationofLinearSystem.mp4 043LinearIndependency.mp4 044LinearlyDependentSet.mp4 045LinearlyDependentExample.mp4 046IdeaofLinearlyIndependence.mp4 047TipsonSolvingLinearIndependencyproblem.mp4 048LinearIndependenceandSolutiontoAx=b.mp4 0491-7Homework.html 049-Linear-Algebra-1-7-Homework.pdf 050HomeworkAnswer.mp4 051IntrotoTransformation.mp4 052DefinitionofLinearTransformation.mp4 053UniquenessofPre-image.mp4 0541-8Homework.html 054-Linear-Algebra-1-8-Homework.pdf 0551-8HomeworkAnswer.mp4 056RotationMatrix.mp4 057(Optional)ProofofRotationMatrix.mp4 058FindingRotationMatrix.mp4 059FindingReflectionMatrixforx-axis.mp4 060FindingReflectionMatrixfory-axis.mp4 061FindingReflectionMatrixforx=y.mp4 062FindingReflectionMatrixforx=-y.mp4 063CompoundReflection.mp4 064Matrixforcontractionandexpansion.mp4 065MatrixforShear.mp4 066RelationsofDomainandCo-domain.mp4 067MatrixforTransformationinGeneral.mp4 068FindingMatrixforTransformation.mp4 069FindingMatrixforTransformation2.mp4 070Homework1-9.html 070-Linear-Algebra-1-9-Homework.pdf 0711-9HomeworkAnswer.mp4 03-MatrixAlgebra 072IdentityandDiagonalMatrix.mp4 073RulesofMatrixOperations.mp4 074MatrixMultiplication.mp4 075PropertiesofMatrixMultiplication.mp4 076TransposeofMatrix.mp4 0772-1Homework.html 077-Linear-Algebra-2-1-Homework.pdf 0782-1HomeworkAnswer.mp4 079IntrotoInverseMatrix.mp4 080InverseMatrixof2x2Matrix.mp4 081InverseMatrixforSolvingLinearSystem.mp4 082PropertiesofInverseMatrix.mp4 083RowOperationsandtheCorrespondingMatrix.mp4 084Gauss-JordanEliminationoffindingAinverse.mp4 085DiscussionofInverseMatrix.mp4 086UniquenessofInverseMatrix.mp4 087CostofProducingAInverse.mp4 0882-2Homework.html 088-Linear-Algebra-2-2-Homework.pdf 0892-2HomeworkAnswer.mp4 090CharacterizationofInvertibleMatrix.mp4 091ExamplesofInvertibleMatrix.mp4 0922-3Homework.html 092-Linear-Algebra-2-3-Homework.pdf 0932-3HomeworkSolution.mp4 094(Optional)Poly-alphabeticCryptosystem.mp4 095PartitionedMatrix.mp4 096(Optional)Strassen'sAlgorithm.mp4 097IntroductiontoMatrixFactorization.mp4 098ShortcutofLUDecomposition.mp4 099RealLifeLUDecomposition.mp4 100WhyLearningLUDecomposition.mp4 1012-5Homework.html 101-Linear-Algebra-2-5-Homework.pdf 1022-5HomeworkAnswer.mp4 103LeontiefClosedModel.mp4 104LeontiefOpenModel.mp4 105ComputerGraphics.mp4 1063DGraphics.mp4 107Subspace.mp4 108Basis,ColumnSpace,NullSpace.mp4 1092-8Homework.html 109-Linear-Algebra-2-8-Homework.pdf 110ErrorFix.html 1112-8HomeworkSolution.mp4 112CoordinateSystem.mp4 113Dimension.mp4 114TheRankTheorem.mp4 1152-9Homework.html 115-Linear-Algebra-2-9-Homework.pdf 1162-9HomeworkSolution.mp4 04-GoogleForm 117GoogleForm.html 05-Determinants 118DotProduct.mp4 119PropertiesofDotProduct.mp4 120SchwarzInequality.mp4 121PerpendicularandSlope.mp4 122CrossProduct.mp4 123PlaneEquation.mp4 124IntroductiontoDeterminants.mp4 125AnotherWayofFindingDeterminant.mp4 1263-1Homework.html 126-Linear-Algebra-3-1-Homework.pdf 127ErrorFix.html 1283-1HomeworkSolution.mp4 129PropertiesofDeterminants.mp4 130PropertiesofDeterminantsII.mp4 1313-2Homework.html 131-Linear-Algebra-3-2-Homework.pdf 1323-2HomeworkSolution.mp4 133Cramer'sLaw.mp4 134CrossProductFormula.mp4 135ParallelepipedVolume.mp4 136FormulaofAInverse.mp4 1373-3Homework.html 137-Linear-Algebra-3-3-Homework.pdf 1383-3HomeworkSolution.mp4 139InvertibleMatrixTheorem.mp4 06-VectorSpaceinGeneral 140VectorSpaceandSubspace.mp4 141Subspace.mp4 142SubspaceSpannedbyasetofvectors.mp4 143TheoremofNullSpaceandColumnSpace.mp4 144LinearTransformation,KernelandImage.mp4 1454-2Homework.html 145-Linear-Algebra-4-2-Homework.pdf 1464-2HomeworkAnswer.mp4 147LinearlyIndependentSetandBasis.mp4 1484-3Homework.html 148-Linear-Algebra-4-3-Homework.pdf 1494-3HomeworkSolution.mp4 150441TheUniqueRepresentationTheorem.mp4 151B-CoordinateVectorofx.mp4 152ChangeofCoordinateMatrix.mp4 153LinearIndependenceandVectors.mp4 154Isomorphism.mp4 1554-4Homework.html 155-Linear-Algebra-4-4-Homework.pdf 156QuickFix.html 1574-4HomeworkSolution.mp4 158TheoremofLinearlyDependence.mp4 159DimensionGeneralIdea.mp4 160DimensionofSpaces.mp4 1614-54-6Homework.html 161-Linear-Algebra-4-5-4-6-Homework.pdf 1624-54-6HomeworkSolution.mp4 163ChangeofBasis.mp4 1644-7Homework.html 164-Linear-Algebra-4-7-Homework.pdf 165QuickFix.html 1664-7HomeworkAnswer.mp4 167Noteson4-8.html 168ApplicationtoMarkovChain.mp4 07-EigenvectorsandEigenvalues 169EigenvectorsandEigenvalues.mp4 170EigenvaluesofTriangularMatrix.mp4 171AnalysisofEigenvalues.mp4 172CharacteristicEquation.mp4 173LinearlyIndependentEigenvectors.mp4 174DeeperUnderstanding.mp4 1755-15-2Homework.html 175-Linear-Algebra-5-1-5-2-Homework.pdf 1765-15-2HomeworkSolution.mp4 177DynamicSystem.mp4 178SimilarityandPowerofMatrix.mp4 179DiagonalizationTheorem.mp4 180DiagonalizationExamples.mp4 1815-3Homework.html 181-Linear-Algebra-5-3-Homework.pdf 182HomeworkSolution.mp4 183LinearTransformation.mp4 184LinearTransformationfromVtoV.mp4 185LinearTransformationinRn.mp4 1865-4Homework.html 186-Linear-Algebra-5-4-Homework.pdf 187QuickFix.html 1885-4HomeworkSolution.mp4 189ComplexEigenvectorsandEigenvalues.mp4 190ExampleofFindingComplexEigenvalues.mp4 191ComplexConjugate.mp4 192RotationBehavior.mp4 193RotationandStretchMatrix.mp4 1945-5Homework.html 194-Linear-Algebra-5-5-Homework.pdf 1955-5HomeworkAnswer.mp4 196DiscreteDynamicSystem.mp4 197GraphicalDescriptionofSolutions.mp4 1985-7Note.html 199PowerMethod.mp4 200ExampleofPowerMethod.mp4 201ShiftedInversePowerMethod.mp4 202GershgorinCircleTheorem.mp4 203Graphs,EulerFormula.mp4 08-InnerProductSpace 204InnerProduct.mp4 205LengthandDistance.mp4 206Orthogonality.mp4 207Projection.mp4 2086-1Homework.html 208-Linear-Algebra-6-1-Homework.pdf 2096-1HomeworkSolution.mp4 210OrthogonalSet.mp4 211OrthogonalBasis.mp4 212OrthogonalProjectiontoSpace.mp4 213OrthonomalBasis.mp4 2146-2Homework.html 214-Linear-Algebra-6-2-Homework.pdf 2156-2HomeworkSolution.mp4 216TheOrthogonalDecompositionTheorem.mp4 217TheoremofOrthonomalBasis.mp4 218SymbolabwithLinearAlgebra.html 2196-3Homework.html 219-Linear-Algebra-6-3-Homework.pdf 220HomeworkSolution.mp4 221Grand-SchmidtProcess.mp4 222OrthonomalBasis.mp4 223QRFactorization.mp4 2246-4Homework.html 224-Linear-Algebra-6-4-Homework.pdf 225644HomeworkSolution.mp4 226InconsistentSystem.mp4 227SolutiontoLeastSquaresProblem.mp4 228ExampleofLeast-SquaresSolution.mp4 229AlternativeCalculation.mp4 230Least-SquaresLine.mp4 231ExampleofLeast-SquaresCurves.mp4 232DesmosLine.mp4 233(Optional)(Calculus)StatisticalRegressionLine.mp4 234InnerProductSpace.mp4 235PolynomialInnerProduct.mp4 236Examples.mp4 237BestApproximationinInnerProductSpace.mp4 238AnInnerProductSpaceforC[a,b].mp4 2396-7Homework.html 239-Linear-Algebra-6-7-Homework.pdf 2406-7HomeworkSolution.mp4 09-End 241PersonalWebsite.html 242Survey.html 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