Linear Algebra: A Modern Introduction 4th 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 (30)
    • 1.2: Length and Angle: The Dot Product (30)
    • 1.3: Lines and Planes (27)
    • 1.4: Applications (6)
    • 1: Chapter Review

  • Chapter 2: Systems of Linear Equations
    • 2.0: Introduction: Triviality
    • 2.1: Introduction to Systems of Linear Equations (23)
    • 2.2: Direct Methods for Solving Linear Systems (32)
    • 2.3: Spanning Sets and Linear Independence (21)
    • 2.4: Applications (25)
    • 2.5: Iterative Methods for Solving Linear Systems (11)
    • 2: Chapter Review

  • Chapter 3: Matrices
    • 3.0: Introduction: Matrices in Action
    • 3.1: Matrix Operations (22)
    • 3.2: Matrix Algebra (19)
    • 3.3: The Inverse of a Matrix (32)
    • 3.4: The LU Factorization (17)
    • 3.5: Subspaces, Basis, Dimension, and Rank (23)
    • 3.6: Introduction to Linear Transformations (18)
    • 3.7: Applications (36)
    • 3: Chapter Review

  • Chapter 4: Eigenvalues and Eigenvectors
    • 4.0: Introduction: A Dynamical System on Graphs
    • 4.1: Introduction to Eigenvalues and Eigenvectors (15)
    • 4.2: Determinants (28)
    • 4.3: Eigenvalues and Eigenvectors of n × n Matrices (14)
    • 4.4: Similarity and Diagonalization (15)
    • 4.5: Iterative Methods for Computing Eigenvalues (22)
    • 4.6: Applications and the Perron-Frobenius Theorem (30)
    • 4: Chapter Review

  • Chapter 5: Orthogonality
    • 5.0: Introduction: Shadows on a Wall
    • 5.1: Orthogonality in ℜn (13)
    • 5.2: Orthogonal Complements and Orthogonal Projections (16)
    • 5.3: The Gram-Schmidt Process and the QR Factorization (12)
    • 5.4: Orthogonal Diagonalization of Symmetric Matrices (11)
    • 5.5: Applications (29)
    • 5: Chapter Review

  • Chapter 6: Vector Spaces
    • 6.0: Introduction: Fibonacci in (Vector) Space
    • 6.1: Vector Spaces and Subspaces (24)
    • 6.2: Linear Independence, Basis, and Dimension (22)
    • 6.3: Change of Basis (10)
    • 6.4: Linear Transformations (15)
    • 6.5: The Kernel and Range of a Linear Transformation (15)
    • 6.6: The Matrix of a Linear Transformation (16)
    • 6.7: Applications (9)
    • 6: Chapter Review

  • Chapter 7: Distance and Approximation
    • 7.0: Introduction: Taxicab Geometry
    • 7.1: Inner Product Spaces (13)
    • 7.2: Norms and Distance Functions (17)
    • 7.3: Least Squares Approximation (28)
    • 7.4: The Singular Value Decomposition (20)
    • 7.5: Applications (10)
    • 7: Chapter Review

  • Chapter 8: Codes (Online only)
    • 8.1: Code Vectors (9)
    • 8.2: Error-Correcting (3)
    • 8.3: Dual Codes (6)
    • 8.4: Linear Codes (4)
    • 8.5: The Minimum Distance of a Code (5)

  • Chapter A: Appendices
    • A.A: Mathematical Notation and Methods of Proof
    • A.B: Mathematical Induction
    • A.C: Complex Numbers
    • A.D: Polynomials
    • A.E: Technology Bytes (Online only)

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Group Quantity Questions
Chapter 1: Vectors
1.1 30 002 003 006 007 009 012 013 015 017 018 021 025 026 027 031 033 035 036 038 039 042 044 045 046 048 049 051 054 057 501.XP
1.2 30 001 003 005 007 009 011 013 015 018 020 023 024 026 027 030 031 034 036 037 039 040 042 046 048 049 051 052 060 066 501.XP
1.3 27 001 003 006 007 009 011 012 013 015 018 021 024 027 028 030 032 033 034 036 037 043 045 047 048 501.XP 502.XP 503.XP
1.4 6 003 004 006 009 011 012
Chapter 2: Systems of Linear Equations
2.1 23 003 006 007 009 011 012 014 015 018 019 020 021 024 025 027 028 030 031 033 034 036 041 044
2.2 32 001 003 006 009 012 014 015 017 018 021 023 025 027 030 031 032 033 036 038 040 042 045 048 049 054 056 057 060 501.XP 502.XP 503.XP 504.XP
2.3 21 001 003 005 007 009 012 014 015 017 022 023 024 025 027 030 033 035 036 039 042 501.XP
2.4 25 001 003 005 006 007 008 009 012 015 016 018 019 021 024 025 027 028 030 037 038 039 042 045 048 051
2.5 11 001 003 006 007 009 012 015 018 020 022 024
Chapter 3: Matrices
3.1 22 001 003 004 005 006 009 012 015 019 021 022 023 024 027 031 032 033 036 039 501.XP 502.XP 503.XP
3.2 19 001 003 005 006 009 010 012 013 015 023 024 027 036 037 041 046 501.XP 502.XP 503.XP
3.3 32 001 003 006 007 009 011 012 021 023 024 025 027 031 033 034 036 038 039 045 048 051 054 057 060 062 063 064 066 069 072 501.XP 502.XP
3.4 17 002 003 004 006 007 009 010 012 013 015 018 019 021 023 024 027 031
3.5 23 011 012 015 016 017 018 019 021 024 027 029 030 035 036 038 041 042 044 045 048 051 054 501.XP
3.6 18 001 002 003 009 012 015 018 021 022 024 027 031 032 037 039 042 048 051
3.7 36 001 003 004 006 009 012 015 018 019 021 022 024 027 030 031 033 036 039 040 042 045 046 048 051 053 054 057 058 060 062 063 066 069 072 075 078
Chapter 4: Eigenvalues and Eigenvectors
4.1 15 003 006 009 012 014 015 017 018 021 024 027 030 033 501.XP 502.XP
4.2 28 001 003 006 009 012 015 017 018 021 022 024 027 030 033 036 039 045 048 049 051 057 058 060 062 063 501.XP 502.XP 503.XP
4.3 14 003 005 006 009 012 015 017 018 024 027 030 035 036 501.XP
4.4 15 003 006 009 011 012 015 018 021 024 027 039 501.XP 502.XP 503.XP 504.XP
4.5 22 002 003 004 005 006 009 010 012 015 017 018 021 024 027 030 033 034 036 039 042 045 047
4.6 30 003 006 008 009 012 015 024 029 030 033 034 036 044 045 047 048 051 059 060 063 066 069 072 075 077 078 081 084 087 090
Chapter 5: Orthogonality
5.1 13 003 005 006 009 011 012 015 017 018 021 029 031 501.XP
5.2 16 003 006 007 009 012 013 015 017 018 019 020 021 501.XP 502.XP 503.XP 504.XP
5.3 12 003 005 006 007 009 012 015 017 018 021 024 501.XP
5.4 11 001 003 005 006 009 012 017 018 021 023 024
5.5 29 001 003 006 009 012 014 015 018 021 024 033 036 039 041 042 045 046 048 051 053 054 056 057 060 063 066 067 069 072
Chapter 6: Vector Spaces
6.1 24 001 002 003 005 006 009 015 018 019 024 025 027 030 033 034 036 039 048 051 053 054 056 057 060
6.2 22 003 006 009 010 012 018 019 021 024 027 034 036 039 045 048 050 051 501.XP 502.XP 503.XP 504.XP 505.XP
6.3 10 003 006 009 012 015 018 501.XP 502.XP 503.XP 504.XP
6.4 15 003 004 006 009 012 015 018 025 026 030 032 033 501.XP 502.XP 503.XP
6.5 15 003 006 009 010 011 012 015 017 018 021 024 027 033 036 501.XP
6.6 16 001 002 003 006 007 009 012 015 018 021 024 027 030 031 033 036
6.7 9 001 003 004 006 008 009 012 015 018
Chapter 7: Distance and Approximation
7.1 13 001 003 006 009 012 015 018 020 021 026 027 039 042
7.2 17 002 003 005 006 009 013 020 021 023 024 026 027 030 033 036 037 039
7.3 28 001 003 006 007 009 012 015 018 019 021 024 025 027 029 030 033 035 036 038 039 042 045 047 048 051 501.XP 502.XP 503.XP
7.4 20 003 004 006 009 012 013 015 018 021 022 024 033 036 038 039 041 042 045 048 063
7.5 10 001 003 005 006 009 012 015 021 023 025
Chapter 8: Codes (Online only)
8.1 9 001 003 006 008 009 012 017 018 021
8.2 3 003 006 009
8.3 6 002 003 006 009 012 015
8.4 4 003 006 009 015
8.5 5 002 003 006 010 012
Total 803