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Linear Algebra with Applications (standard) 7th edition


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Table of Contents

  • Chapter 1: Linear Equations and Vectors
    • 1.1: Matrices and Systems of Linear Equations
    • 1.2: Gauss-Jordan Elimination
    • 1.3: The Vector Space Rn
    • 1.4: Subspaces of Rn
    • 1.5: Basis and Dimension in Rn
    • 1.6: Dot Product, Norm, Angle, and Distance
    • 1.7: Curve Fitting, Electrical Networks, and Traffic Flow
    • 1: Review (23)
    • 1: Test Bank (28)

  • Chapter 2: Matrices and Linear Transformations
    • 2.1: Addition, Scalar Multiplication, and Multiplication of Matrices
    • 2.2: Properties of Matrix Operations
    • 2.3: Symmetric Matrices and Seriation in Archaeology
    • 2.4: The Inverse of a Matrix and Cryptography
    • 2.5: Matrix Transformations, Rotations, and Dilations
    • 2.6: Linear Transformations, Graphics, and Fractals
    • 2.7: The Leontief Input-Output Model in Economics
    • 2.8: Markov Chains, Population Movements, and Genetics
    • 2.9: A Communication Model and Group Relationships
    • 2: Review (32)
    • 2: Test Bank (31)

  • Chapter 3: Determinants and Eigenvectors
    • 3.1: Introduction to Determinants
    • 3.2: Properties of Determinants
    • 3.3: Determinants, Matrix Inverses, and Systems of Linear Equations
    • 3.4: Eigenvalues and Eigenvectors
    • 3.5: Google, Demography, and Weather Prediction
    • 3: Review (18)
    • 3: Test Bank (27)

  • Chapter 4: General Vector Spaces
    • 4.1: General Vector Spaces and Subspaces
    • 4.2: Linear Combinations of Vectors
    • 4.3: Linear Independence of Vectors
    • 4.4: Properties of Bases
    • 4.5: Rank
    • 4.6: Orthonormal Vectors and Projections
    • 4.7: Kernel, Range, and the Rank/Nullity Theorem
    • 4.8: One-to-One Transformations and Inverse Transformations
    • 4.9: Transformation and Systems of Linear Equations
    • 4: Review (47)
    • 4: Test Bank (34)

  • Chapter 5: Coordinate Representations
    • 5.1: Coordinate Vectors
    • 5.2: Matrix Representations of Linear Transformations
    • 5.3: Diagonalization of Matrices
    • 5.4: Quadratic Forms, Difference Equations, and Normal Modes
    • 5: Review (17)
    • 5: Test Bank (32)

  • Chapter 6: Inner Product Spaces
    • 6.1: Inner Product Spaces
    • 6.2: Non-Euclidean Geometry and Special Relativity
    • 6.3: Approximation of Functions and Coding Theory
    • 6.4: Least Square Curves
    • 6: Review (10)
    • 6: Test Bank (26)

  • Chapter 7: Numerical Methods
    • 7.1: Gaussian Elimination
    • 7.2: The Method of LU Decomposition
    • 7.3: Practical Difficulties in Solving Systems of Equations
    • 7.4: Iterative Methods for Solving Systems of Linear Equations
    • 7.5: Eigenvalues by Iteration and Connectivity of Networks
    • 7: Review (12)
    • 7: Test Bank (28)

  • Chapter 8: Linear Programming
    • 8.1: A Geometrical Introduction to Linear Programming
    • 8.2: The Simplex Method
    • 8.3: Geometrical Explanation of the Simplex Method
    • 8: Review (8)
    • 8: Test Bank (15)

Questions Available within WebAssign

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Group Quantity Questions
Chapter 1: Linear Equations and Vectors
R 23 (1) 001 002 003 004 005 006 007 008 011 012 013 014 015 017 018 019 020 021 022 023 024 025 026 027
TB 28 001 002 003 004 005 006 007 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029
Chapter 2: Matrices and Linear Transformations
R 32 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 021 022 023 024 025 026 027 028 029 030 031 032 033 034
TB 31 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031
Chapter 3: Determinants and Eigenvectors
R 18 001 002 003 004 005 006 007 008 009 010 011 012 013 014 016 018 019 020
TB 27 001 002 003 004 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028
Chapter 4: General Vector Spaces
R 47 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047
TB 34 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034
Chapter 5: Coordinate Representations
R 17 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017
TB 32 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032
Chapter 6: Inner Product Spaces
R 10 001 002 003 004 005 006 007 008 009 010
TB 26 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026
Chapter 7: Numerical Methods
R 12 001 002 003 004 005 006 007 008 009 010 011 012
TB 28 001 002 003 004 005 006 007 008 009 010 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029
Chapter 8: Linear Programming
R 8 001 002 003 004 005 006 007 008
TB 15 001 002 003 004 007 009 010 011 012 013 014 015 016 017 018
Total 388 (1)  

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