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Linear Algebra: A Modern Introduction 3rd third Edition by Poole EBOOK PDF Instant Download

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Linear Algebra: A Modern Introduction 3rd (third) Edition by Poole EBOOK PDF Instant Download

Table of contents

Vectors
1.1The Geometry and Algebra of VectorsExercisesp.16
1.2Length and Angle: The Dot ProductExercisesp.29
1.3Lines and PlanesExercisesp.44
1.4ApplicationsExercisesp.57
Chapter Reviewp.61

Chapter 2

Systems Of Linear Equations

2.1Introduction to Systems of Linear EquationsExercisesp.69
2.2Direct Methods for Solving Linear SystemsExercisesp.85
2.3Spanning Sets and Linear IndependenceExercisesp.103
2.4ApplicationsExercisesp.119
2.5Iterative Methods for Solving Linear SystemsExercisesp.138
Chapter Reviewp.140

Chapter 3

Matrices

3.1Matrix OperationsExercisesp.158
3.2Matrix AlgebraExercisesp.167
3.3The Inverse of a MatrixExercisesp.184
3.4The LU FactorizationExercisesp.195
3.5Subspaces, Basis, Dimension, and RankExercisesp.215
3.6Introduction to Linear TransformationsExercisesp.229
3.7ApplicationsExercisesp.256
Chapter Reviewp.263

Chapter 4

Eigenvalues And Eigenvectors

4.1Introduction to Eigenvalues and EigenvectorsExercisesp.271
4.2DeterminantsExercisesp.292
4.3Eigenvalues and Eigenvectors of n X n MatricesExercisesp.309
4.4Similarity and DiagonalizationExercisesp.320
4.5Iterative Methods for Computing EigenvaluesExercisesp.334
4.6Applications and the Perron-Frobenius TheoremExercisesp.370
Chapter Reviewp.376

Chapter 5

Orthogonality

5.1Orthogonality in R^nExercisesp.387
5.2Orthogonal Complements and Orthogonal ProjectionsExercisesp.398
5.3The Gram-Schmidt Process and the QR FactorizationExercisesp.405
5.4Orthogonal Diagonalization of Symmetric MatricesExercisesp.418
5.5ApplicationsExercisesp.440
Chapter Reviewp.443

Chapter 6

Vector Spaces

6.1Vector Spaces and SubspacesExercisesp.459
6.2Linear Independence, Basis, and DimensionExercisesp.474
6.3Change of BasisExercisesp.489
6.4Linear TransformationsExercisesp.498
6.5The Kernel and Range of a Linear TransformationExercisesp.513
6.6The Matrix of a Linear TransformationExercisesp.530
6.7ApplicationsExercisesp.547
Chapter Reviewp.550

Chapter 7

Distance And Approximation

7.1Inner Product SpacesExercisesp.563
7.2Norms and Distance FunctionsExercisesp.589
7.3Least Squares ApproximationExercisesp.609
7.4The Singular Value DecompositionExercisesp.632
7.5ApplicationsExercisesp.644
Chapter Reviewp.646