Linear Algebra: A Modern Introduction 3rd edition

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David Poole
Publisher: Cengage Learning

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  • Chapter 1: Vectors
    • 1.0: Introduction: The Racetrack Game
    • 1.1: The Geometry and Algebra of Vectors (11)
    • 1.2: Length and Angle: The Dot Product (7)
    • 1.3: Lines and Planes (12)
    • 1.4: Applications (7)
    • 1: Chapter Review

  • Chapter 2: Systems of Linear Equations
    • 2.0: Introduction: Triviality
    • 2.1: Introduction to Systems of Linear Equations (6)
    • 2.2: Direct Methods for Solving Linear Systems (10)
    • 2.3: Spanning Sets and Linear Independence (9)
    • 2.4: Applications (11)
    • 2.5: Iterative Methods for Solving Linear Systems (2)
    • 2: Chapter Review

  • Chapter 3: Matrices
    • 3.0: Introduction:Matrices in Action
    • 3.1: Matrix Operations (10)
    • 3.2: Matrix Algebra (8)
    • 3.3: The Inverse of a Matrix (9)
    • 3.4: The LU Factorization (6)
    • 3.5: Subspaces, Basis, Dimension, and Rank (7)
    • 3.6: Introduction to Linear Transformations (9)
    • 3.7: Applications (14)
    • 3: Chapter Review

  • Chapter 4: Eigenvalues and Eigenvectors
    • 4.0: Introduction: A Dynamical System on Graphs
    • 4.1: Introduction to Eigenvalues and Eigenvectors (7)
    • 4.2: Determinants (9)
    • 4.3: Eigenvalues and Eigenvectors of n n Matrices (6)
    • 4.4: Similarity and Diagonalization (6)
    • 4.5: Iterative Methods for Computing Eigenvalues (8)
    • 4.6: Applications and the Perron-Frobenius Theorem (10)
    • 4: Chapter Review

  • Chapter 5: Orthogonality
    • 5.0: Introduction: Shadows on a Wall
    • 5.1: Orthogonality in ℝn (5)
    • 5.2: Orthogonal Complements and Orthogonal Projections (8)
    • 5.3: The Gram-Schmidt Process and the QR Factorization (7)
    • 5.4: Orthogonal Diagonalization of Symmetric Matrices (5)
    • 5.5: Applications (13)
    • 5: Chapter Review

  • Chapter 6: Vector Spaces
    • 6.0: Introduction: Fibonacci in (Vector) Space
    • 6.1: Vector Spaces and Subspaces (10)
    • 6.2: Linear Independence, Basis, and Dimension (8)
    • 6.3: Change of Basis (4)
    • 6.4: Linear Transformations (6)
    • 6.5: The Kernel and Range of a Linear Transformation (7)
    • 6.6: The Matrix of a Linear Transformation (5)
    • 6.7: Applications (6)
    • 6: Chapter Review

  • Chapter 7: Distance and Approximation
    • 7.0: Introduction: Taxicab Geometry
    • 7.1: Inner Product Spaces (4)
    • 7.2: Norms and Distance Functions (6)
    • 7.3: Least Squares Approximation (11)
    • 7.4: The Singular Value Decomposition (6)
    • 7.5: Applications (5)
    • 7: Chapter Review

Questions Available within WebAssign

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Group Quantity Questions
Chapter 1: Vectors
1.1 11 002 006 009 012 015 017 026 033 035 044 049
1.2 7 003 009 015 024 037 040 049
1.3 12 002 004 008 011 013 021 024 028 030 032 034 043
1.4 7 004 009 011 015 022 026 031
Chapter 2: Systems of Linear Equations
2.1 6 011 014 020 025 028 034
2.2 10 010 014 017 026 027 031 032 046 049 054
2.3 9 002 003 005 007 014 023 025 033 035
2.4 11 001 003 005 007 008 016 019 024 025 027 028
2.5 2 001 007
Chapter 3: Matrices
3.1 10 002 004 005 008 009 015 022 023 024 032
3.2 8 002 003 005 006 009 010 014 023
3.3 9 001 006 007 011 025 031 034 048 064
3.4 6 002 004 007 010 013 023
3.5 7 012 017 021 027 029 035 054
3.6 9 001 002 012 021 022 024 031 032 037
3.7 14 001 003 004 006 015 019 022 031 038 044 051 056 060 081
Chapter 4: Eigenvalues and Eigenvectors
4.1 7 003 008 014 017 024 027 033
4.2 9 001 008 017 022 038 046 049 058 062
4.3 6 002 005 015 017 027 035
4.4 6 002 004 006 011 016 024
4.5 8 002 004 005 010 017 030 034 047
4.6 10 003 008 012 029 033 034 044 048 059 077
Chapter 5: Orthogonality
5.1 5 002 005 009 011 017
5.2 8 002 006 007 009 012 013 017 020
5.3 7 002 003 005 007 009 015 017
5.4 5 001 003 005 017 023
5.5 13 002 006 009 015 023 031 036 043 063 068 075 078 089
Chapter 6: Vector Spaces
6.1 10 001 002 005 015 019 025 034 051 053 056
6.2 8 002 006 008 010 019 022 028 050
6.3 4 002 006 010 012
6.4 6 002 004 014 016 018 025
6.5 7 002 003 006 010 011 015 017
6.6 5 001 002 007 027 031
6.7 6 001 004 006 008 018 025
Chapter 7: Distance and Approximation
7.1 4 001 003 020 026
7.2 6 002 005 020 023 026 037
7.3 11 004 008 012 015 020 025 027 029 035 038 047
7.4 6 004 013 022 038 041 045
7.5 5 001 005 023 030 038
Total 300