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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