Linear Algebra with Applications 1st edition

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Jeffrey Holt
Publisher: W. H. Freeman

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  • Chapter 1: Linear Equations
    • 1.1: Lines and Linear Equations (25)
    • 1.2: Linear Equations and Matrices (40)
    • 1.3: Numerical Solutions (15)
    • 1.4: Applications of Linear Systems (20)

  • Chapter 2: Euclidean Space
    • 2.1: Vectors (32)
    • 2.2: Span (44)
    • 2.3: Linear Independence (41)

  • Chapter 3: Matrices
    • 3.1: Linear Transformations (18)
    • 3.2: Matrix Algebra (19)
    • 3.3: Inverses (24)
    • 3.4: LU Factorization (23)
    • 3.5: Markov Chains (16)

  • Chapter 4: Subspaces
    • 4.1: Introduction to Subspaces (33)
    • 4.2: Basis and Dimension (42)
    • 4.3: Row and Column Spaces (25)

  • Chapter 5: Determinants
    • 5.1: The Determinant Function (41)
    • 5.2: Properties of the Determinant (30)
    • 5.3: Applications of the Determinant (29)

  • Chapter 6: Eigenvalues and Eigenvectors
    • 6.1: Eigenvalues and Eigenvectors (24)
    • 6.2: Iterative Methods (17)
    • 6.3: Change of Basis (16)
    • 6.4: Diagonalization (13)
    • 6.5: Complex Eigenvalues (11)
    • 6.6: Systems of Differential Equations (19)

  • Chapter 7: Vector Spaces
    • 7.1: Vector Spaces and Subspaces (26)
    • 7.2: Span and Linear Independence (39)
    • 7.3: Basis and Dimension (24)

  • Chapter 8: Orthogonality
    • 8.1: Dot Products and Orthogonal Sets (19)
    • 8.2: Projection and the Gram-Schmidt Process (18)
    • 8.3: Diagonalizing Symmetric Matrices (26)
    • 8.4: Singular Value Decomposition (17)
    • 8.5: Least Squares Regression (20)

  • Chapter 9: Linear Transformations
    • 9.1: Definition and Properties (23)
    • 9.2: Isomorphisms (20)
    • 9.3: The Matrix of a Linear Transformation (38)
    • 9.4: Similarity (19)

  • Chapter 10: Inner Product Spaces
    • 10.1: Inner Products (39)
    • 10.2: The Gram-Schmidt Process Revisited (26)
    • 10.3: Applications of Inner Products (29)

  • Chapter 11: Additional Topics and Applications
    • 11.1: Quadratic Forms (23)
    • 11.2: Positive Definite Matrices (18)
    • 11.3: Constrained Optimization (18)
    • 11.4: Complex Vector Spaces (20)
    • 11.5: Hermitian Matrices (21)

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Group Quantity Questions
Chapter 1: Linear Equations
1.1 25 002 003 005 008 009 012 015 018 024 029 032 035 036 038 040 041 051 052 057 060 064 067 068 073 076
1.2 40 001 002 004 005 006 007 010 011 012 013 014 015 016 018 019 021 022 023 024 026 027 028 029 032 034 035 043 044 045 046 048 049 050 051 057 058 061 062 064 066
1.3 15 001 004 005 007 010 012 014 016 017 018 019 022 026 030 032
1.4 20 001 002 003 007 008 011 012 014 017 018 020 022 023 024 025 026 028 029 030 032
Chapter 2: Euclidean Space
2.1 32 004 006 007 008 012 014 015 017 019 023 024 025 027 028 029 031 033 041 046 049 050 052 053 064 065 066 067 068 069 070 071 072
2.2 44 002 004 007 008 010 011 013 014 016 017 018 020 021 022 023 024 025 026 028 029 030 031 032 035 037 039 040 041 042 051 052 053 054 055 056 057 058 059 060 061 062 063 064 077
2.3 41 002 003 004 005 007 008 009 010 011 013 014 016 017 019 020 021 022 023 024 026 028 029 030 039 040 041 042 043 044 045 046 047 048 049 050 051 052 068 069 072 073
Chapter 3: Matrices
3.1 18 001 004 007 010 013 016 019 022 025 028 031 034 037 040 046 049 075 078
3.2 19 001 004 007 010 013 016 019 022 025 028 031 034 037 040 046 065 068 071 074
3.3 24 003 006 009 012 015 018 021 024 027 030 033 036 039 042 048 051 054 059 071 074 077 080 083 086
3.4 23 003 006 009 012 015 018 021 025 028 031 034 037 040 043 046 049 052 055 058 061 067 073 076
3.5 16 003 006 009 012 015 018 021 024 027 030 033 036 046 049 052 055
Chapter 4: Subspaces
4.1 33 003 006 007 009 011 012 016 022 023 024 027 028 030 032 034 035 036 045 046 047 048 049 050 051 052 053 058 068 073 075 077 078 080
4.2 42 005 006 007 008 010 011 012 014 015 017 018 019 020 021 023 025 027 029 030 032 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 064 065 069 071 072 073
4.3 25 001 003 004 005 006 008 010 012 014 015 017 018 020 023 024 027 030 031 034 043 046 047 052 062 064
Chapter 5: Determinants
5.1 41 001 002 003 004 005 007 008 010 012 013 014 016 019 022 023 025 028 030 031 034 035 037 039 042 045 048 050 051 053 056 057 069 070 071 072 073 074 075 076 081 084
5.2 30 002 003 004 005 007 008 009 011 015 017 020 022 024 027 028 033 035 036 040 047 048 049 050 051 052 053 054 055 056 073
5.3 29 001 002 004 008 012 013 015 017 020 022 023 025 027 030 031 032 033 035 041 043 044 046 047 048 050 063 066 067 070
Chapter 6: Eigenvalues and Eigenvectors
6.1 24 002 004 006 008 009 010 011 014 015 018 023 024 025 026 037 038 039 041 043 044 045 046 047 067
6.2 17 002 006 008 012 013 014 016 018 020 022 024 028 035 038 040 046 053
6.3 16 004 005 009 011 013 017 020 022 023 025 027 039 041 043 044 052
6.4 13 003 006 007 009 010 012 013 015 019 033 036 037 048
6.5 11 002 004 008 010 014 016 020 032 036 038 039
6.6 19 002 004 006 008 011 012 017 018 020 021 022 023 024 026 028 039 041 044 047
Chapter 7: Vector Spaces
7.1 26 002 009 010 011 012 019 020 021 022 023 024 025 026 027 028 029 030 031 032 040 041 042 043 044 045 046
7.2 39 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 034 035 036 037 038 039 040 041 055 056 057 058
7.3 24 001 002 003 004 005 006 007 008 009 010 011 012 025 026 030 037 038 039 040 041 042 044 045 046
Chapter 8: Orthogonality
8.1 19 002 004 005 006 008 010 012 015 018 019 026 027 031 033 045 047 051 054 073
8.2 18 001 003 004 006 008 010 011 013 016 018 021 024 026 029 037 039 040 042
8.3 26 003 005 006 011 012 014 016 017 019 021 023 029 031 033 034 036 038 049 052 053 055 056 057 068 071 072
8.4 17 002 005 008 010 012 013 016 018 021 022 023 024 025 026 028 039 041
8.5 20 001 003 005 007 009 011 013 021 022 023 024 025 026 035 039 042 043 047 052 056
Chapter 9: Linear Transformations
9.1 23 001 002 003 004 027 028 029 030 039 040 041 042 043 044 045 046 047 049 050 065 066 067 068
9.2 20 011 012 013 015 016 017 018 022 031 032 033 034 036 038 039 040 041 042 043 044
9.3 38 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 041 042 043 044
9.4 19 001 003 004 005 006 009 010 011 013 014 015 016 017 019 026 027 028 033 042
Chapter 10: Inner Product Spaces
10.1 39 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 041 042 044 045 046 047 048 049 050
10.2 26 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 025 026 027 028 029 030 031 032
10.3 29 001 002 003 004 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 029 030 031 032 033 042 043 044 045
Chapter 11: Additional Topics and Applications
11.1 23 001 002 003 006 008 010 011 012 013 014 016 018 019 020 022 023 024 026 035 036 037 038 039
11.2 18 002 004 006 007 008 009 012 013 015 016 018 020 022 023 024 031 033 034
11.3 18 002 004 005 006 008 010 012 013 014 016 017 018 019 021 022 023 031 032
11.4 20 002 003 006 007 008 009 011 012 014 017 019 021 023 028 030 037 039 040 041 042
11.5 21 002 004 005 007 008 009 010 012 013 014 016 017 018 023 024 025 026 027 028 029 030
Total 1100