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Textbook Notes at University of Toronto St. George

MAT188H1 Chapter 8.4: Chapter 8.4 The Singular Value Decomposition
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TheSingularValueDecomposition T Inthissectionweworkonaveryimportant...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 6.3: Chapter 6.3 Change of Basis
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ChangeofBasis InthissectionwelookforageneralproceduretoswitchThecom...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 8.3: Chapter 8.3 Diagonalizing Symmetric Matrices and QR Factorization
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DiagonalizingSymmetricMatricesandQRFactorization T Notethatthespect...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 8.2: Chapter 8.2 Projection and the Gram-Schmidt Process
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ProjectionandtheGramSchmidtProcess Thm.1. 1ProjectionontoVectors n ...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 6.4: Chapter 6.4 Diagonalization
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Diagonalization 2FindingDandP 1Introduction Letsrememberthedenition...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 6.1: Chapter 6.1 Eigenvalues and Eigenvectors
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EigenvaluesandEigenvectors Eigenvaluesandeigenvectorsareparticularp...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 6.6: Chapter 6.6 Systems of Differential Equations
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SystemsofDifferentialEquations Inthissectionwestudytheuseofeigenval...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 8.1: Chapter 8.1 Dot Products and Orthogonal Sets
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DotProductsandOrthogonalSets onlyifitsdotproductiszero,i.e., 1DotPr...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 6.5: Chapter 6.5 Complex Eigenvalues
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ComplexEigenvalues WhendeterminingtheeigenvaluesofamatrixwemayThear...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 5.1: Chapter 5.1 The Determinant Function
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TheDeterminantFunction Thedeterminantisafunctionthattakesamatrixint...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 5.2: Chapter 5.2 Properties of the Determinant
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PropertiesoftheDeterminant Wefocusonpropertiesofdeterminantsthatcou...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 5.3: Chapter 5.3 Applications of the Determinant
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ApplicationsoftheDeterminant 2 LetSbetheunitsquareintherstquadranto...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 4.1: Chapter 4.1 Introduction to Subspaces
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IntroductiontoSubspaces n Subspacesarespecialsubsetsofavectorspace(...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 3.1: Chapter 3.1 Linear Transformations
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LinearTransformations Lineartransformationsareaspecialtypeoffunctio...

Mathematics
MAT223H1
Fabian Parsch
MAT188H1 Chapter 3.3: Chapter 3.3 Inverses
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Inverses InthissectionweconsidertheproblemofreversingaTheorem1isqui...

Mathematics
MAT223H1
Fabian Parsch

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