Linear Algebra with Applications (standard) 8th edition

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Gareth Williams
Publisher: Jones and Bartlett Learning

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  • 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 Exercises (48)
    • 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 in Sociology
    • 2: Review Exercises (57)
    • 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, Weather Prediction, and Leslie Matrix Models
    • 3: Review Exercises (50)
    • 3: Test Bank (27)

  • Chapter 4: General Vector Spaces
    • 4.1: General Vector Spaces and Subspaces
    • 4.2: Linear Combination of Vectors
    • 4.3: Linear Independence of Vectors
    • 4.4: Properties of Bases
    • 4.5: Rank
    • 4.6: Orthonormal Vectors, Projections, Gram-Schmidt, and QR Factorization
    • 4.7: Orthogonal Complement
    • 4.8: Kernel, Range, and The Rank/Nullity Theorem
    • 4.9: One-to-One Transformations and Inverse Transformations
    • 4.10: Transformations and Systems of Linear Equations
    • 4: Review Exercises (122)
    • 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 Exercises (27)
    • 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 Squares Solutions
    • 6: Review Exercises (18)
    • 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
    • 7.6: The Singular Value Decomposition
    • 7: Review Exercises (19)
    • 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 Exercises (8)
    • 8: Test Bank (15)

Question Group Key
TB - Test Bank


Question Availability Color Key
BLACK questions are available now
GRAY questions are under development


Group Quantity Questions
Chapter 1: Linear Equations and Vectors
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1.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
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2.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
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3.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
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Chapter 5: Coordinate Representations
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Chapter 6: Inner Product Spaces
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Chapter 7: Numerical Methods
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Chapter 8: Linear Programming
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8.TB 15 001 002 003 004 007 009 010 011 012 013 014 015 016 017 018
Total 570