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Elementary Linear Algebra 7th edition

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Ron Larson
Publisher: Cengage Learning

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Table of Contents

  • Chapter 1: Systems of Linear Equations
    • 1.1: Introduction to Systems of Linear Equations (26)
    • 1.2: Gaussian Elimination and Gauss-Jordan Elimination (28)
    • 1.3: Applications of Systems of Linear Equations (13)
    • Review Exercises

  • Chapter 2: Matrices
    • 2.1: Operations with Matrices (29)
    • 2.2: Properties of Matrix Operations (23)
    • 2.3: The Inverse of a Matrix (27)
    • 2.4: Elementary Matrices (25)
    • 2.5: Applications of Matrix Operations (20)
    • Review Exercises

  • Chapter 3: Determinants
    • 3.1: The Determinant of a Matrix (23)
    • 3.2: Determinants and Elementary Operations (20)
    • 3.3: Properties of Determinants (25)
    • 3.4: Applications of Determinants (27)
    • Review Exercises

  • Chapter 4: Vector Spaces
    • 4.1: Vectors in Rn (25)
    • 4.2: Vector Spaces (17)
    • 4.3: Subspaces of Vector Spaces (22)
    • 4.4: Spanning Sets and Linear Independence (27)
    • 4.5: Basis and Dimension (29)
    • 4.6: Rank of a Matrix and Systems of Linear Equations (21)
    • 4.7: Coordinates and Change of Basis (19)
    • 4.8: Applications of Vector Spaces (23)
    • Review Exercises

  • Chapter 5: Inner Product Spaces
    • 5.1: Length and Dot Product in Rn (32)
    • 5.2: Inner Product Spaces (25)
    • 5.3: Orthonormal Bases: Gram-Schmidt Process (19)
    • 5.4: Mathematical Models and Least Squares Analysis (20)
    • 5.5: Applications of Inner Product Spaces (27)
    • Review Exercises

  • Chapter 6: Linear Transformations
    • 6.1: Introduction to Linear Transformations (18)
    • 6.2: The Kernel and Range of a Linear Transformation (18)
    • 6.3: Matrices for Linear Transformations (19)
    • 6.4: Transition Matrices and Similarity (12)
    • 6.5: Applications of Linear Transformations (24)
    • Review Exercises

  • Chapter 7: Eigenvalues and Eigenvectors
    • 7.1: Eigenvalues and Eigenvectors (20)
    • 7.2: Diagonalization (16)
    • 7.3: Symmetric Matrices and Orthogonal Diagonalization (17)
    • 7.4: Applications of Eigenvalues and Eigenvectors (22)
    • Review Exercises

  • Chapter 8: Complex Vector Spaces (online)
    • 8.1: Complex Numbers
    • 8.2: Conjugates and Division of Complex Numbers
    • 8.3: Polar Form and DeMoivre's Theorem
    • 8.4: Complex Vector Spaces and Inner Products
    • 8.5: Unitary and Hermitian Matrices
    • Review Exercises

  • Chapter 9: Linear Programming (online)
    • 9.1: Systems of Linear Inequalities
    • 9.2: Linear Programming Involving Two Variables
    • 9.3: The Simplex Method: Maximization
    • 9.4: The Simplex Method: Minimization
    • 9.5: The Simplex Method: Mixed Constraints
    • Review Exercises

  • Chapter 10: Numerical Methods (online)
    • 10.1: Gaussian Elimination with Partial Pivoting
    • 10.2: Iterative Methods for Solving Linear Systems
    • 10.3: Power Method for Approximating Eigenvalues
    • 10.4: Applications of Numerical Methods
    • Review Exercises

  • Chapter A: Appendix
    • A.1: Mathematical Induction and Other Form of Proofs
    • A.2: Online Technology Guide
    • A.3: Answer Key
    • A.4: Index
    • Review Exercises

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MI
Master It
SBS
Step By Step


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Group Quantity Questions
Chapter 1: Systems of Linear Equations
1.1 26 001 003 005 007 011 015 019 021 023 025 027 031 037 045 049 053 055 057 059 065 066.MI 069 071 077 083 089.SBS
1.2 28 001 003 005 008 010 011 015 017 019 023.SBS 026 027 029 031 035 037 039 041 043 045.MI 046 047 049 051 052 053 061 068
1.3 13 003 005 013 015 017 021 023 027 029 031 039 501.XP 502.XP.SBS
Chapter 2: Matrices
2.1 29 002 004.MI 007 009 011 012 013 015.SBS 017 019 021 023 024 031 037 039 043 047 049 053 055 057 059 065 078 079 080 083 501.XP
2.2 23 002 003 004.MI 007 009 011 013 015 017 019 020 031 032 037 041.SBS 043 045 049 051 053 055 067 069
2.3 27 002 005.SBS 009 011 013 015 017 020 021 022 025 032.MI 033 034 036.MI 041 043 045 047 049 051 053 055 057 059 075 082
2.4 25 001 005 007 009 011 013 017 018 019 021 023 025 027 031 039 040 041 043 045 049 050 051 053 054.SBS 501.XP
2.5 20 001 002 003 005 006 007 008 009 010 011 013 017 019 021 023.SBS 024 029 031 037 039
Chapter 3: Determinants
3.1 23 001 003 005 007 011 013 015 019 021 023 029 031 036 039 041 047 048.SBS 051 055 057 061 068 501.XP
3.2 20 001 003 005 007 014 017 021 022.SBS 024 025 027 031 035 039 041 045 046 501.XP 502.XP 503.XP
3.3 25 001 003 005 008.SBS 009 012 013 015 017 021 024 025 029 033 035 037 041 045 049 052 055 071 075 079 501.XP
3.4 27 001 005 007 017.SBS 019 021 026 029 032 033 035 039 041 044 047 049 051 054 060 064 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP
Chapter 4: Vector Spaces
4.1 25 001 002 003 007 010 011 013 015 017 019 021.SBS 024 026 028 030 031 036 037 039 043 046 049 053 501.XP 502.XP
4.2 17 001 005 006 008 009 013 016 017 020 021 022 025 027 030 033 036 043.SBS
4.3 22 001 003 005 007 011 014 020 022 024 025.SBS 028 029 031 032 034 035 038 041 501.XP 502.XP 503.XP 504.XP
4.4 27 002 004 005 008 009 013 016 020 021 023 026 027 029 034 036 037 040 043 044 047 049 052 053 056 057 501.XP.SBS 502.XP
4.5 29 001 004 005 007 010 013 015 019 021 025 029 030 031 033 037 038 039 041 044 045 047 055.SBS 057 059 063 065 067 069 070
4.6 21 001 003 005 008 009 013.SBS 017 018 020 023 025 029 033 036 039 042 045 048 050 058 072
4.7 19 001 003 005 007 009 013 015 019.SBS 023 025 028 031 035 038 040 043 044 047 501.XP
4.8 23 001 003 005 008 009 012 015 018.SBS 026 027 032 043 045 047 056 061 065 070 075 079 501.XP 502.XP 503.XP
Chapter 5: Inner Product Spaces
5.1 32 001 004 005 008 009 011 016 017 018 019 021 022 023 026 028 029 037 039 042 043 046 049 052 056 058 063.SBS 076 077 501.XP 502.XP 503.XP 504.XP
5.2 25 017 019 022 024 026 031 032 035 037 042 045 047 049 051 053 057.SBS 061 063 066 071 074 079 081 097 501.XP
5.3 19 001 007 009 012 017 023 025 027 033 034 037 039 043 047.SBS 052 060 069 501.XP 502.XP
5.4 20 001 004 006 007 012 015 017 019 021 023 026 027 029 035 501.XP 502.XP 503.XP.SBS 504.XP 505.XP 506.XP
5.5 27 003 004 007 010 012 013 018 021 023 029 032 034.MI 035 036 038 039 042 043.SBS 045 048 052 063 068 070 078 501.XP 502.XP
Chapter 6: Linear Transformations
6.1 18 001 003 007 009 013 014 023 027 031 034 037 043 048 052 055 056 064 501.XP.SBS
6.2 18 001 003 006 009 011 013 017 019 025.SBS 033 038 039 045 047 052 053 055 058
6.3 19 001 005 006 008 011 013 015 017 021 025 027 032 034 037 043 044 045 501.XP.SBS 502.XP
6.4 12 001 003 004 005 007 009 011 013 019 020 022.SBS 024
6.5 24 001 003 005 007 011 013 016 018 020 022 024.SBS 027 029 032 035 038 039 041 048 049 053 058 065 501.XP
Chapter 7: Eigenvalues and Eigenvectors
7.1 20 001 006 011 013 015 017 019 021 025 029 037 039 043 060.SBS 063 069 073 076 501.XP 502.XP.SBS
7.2 16 001 005 006 007 008 009 013 015 019.SBS 024 026 027 028 033 036 039
7.3 17 001 003 004 005 011 014 015 016 020 039 043 045 047 048 051 058 059
7.4 22 001 003 004 007.SBS 009 010 013 016 017 019 023 027 031 033 039 041 043 046 047 051 055 062
Chapter 8: Complex Vector Spaces (online)
8 0  
Chapter 9: Linear Programming (online)
9 0  
Chapter 10: Numerical Methods (online)
10 0  
Total 758  

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