Linear Algebra 2nd edition

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Ward Cheney and David Kincaid
Publisher: Jones and Bartlett Learning

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  • Chapter 1: Systems of Linear Equations
    • 1.1: Solving Systems of Linear Equations (20)
    • 1.2: Vectors and Matrices (16)
    • 1.3: Kernels, Rank, Homogeneous Equations (18)

  • Chapter 2: Vector Spaces
    • 2.1: Euclidean Vector Spaces (22)
    • 2.2: Lines, Planes, and Hyperplanes (9)
    • 2.3: Linear Transformations (23)
    • 2.4: General Vector Spaces (20)

  • Chapter 3: Matrix Operations
    • 3.1: Matrices (34)
    • 3.2: Matrix Inverses (18)

  • Chapter 4: Determinants
    • 4.1: Determinants: Introduction (14)
    • 4.2: Determinants: Properties (19)

  • Chapter 5: Vector Subspaces
    • 5.1: Column, Row, and Null Spaces (16)
    • 5.2: Bases and Dimension (24)
    • 5.3: Coordinate Systems (17)

  • Chapter 6: Eigensystems
    • 6.1: Eigenvalues and Eigenvectors (18)

  • Chapter 7: Inner-Product Vector Spaces
    • 7.1: Inner-Product Spaces (28)
    • 7.2: Orthogonality (11)

  • Chapter 8: Additional Topics
    • 8.1: Hermitian Matrices and the Spectral Theorem (11)
    • 8.2: Matrix Factorizations and Block Matrices (13)
    • 8.3: Iterative Methods for Linear Equations (15)

  • Chapter A: Appendix A
    • A.1: Introduction
    • A.2: Deductive Reasoning and Direct Verification
    • A.3: Implications
    • A.4: Method of Contradiction
    • A.5: Mathematical Induction
    • A.6: Truth Tables
    • A.7: Subsets and de Morgan Laws
    • A.8: Quantifiers
    • A.9: Denial of a Quantified Assertion
    • A.10: Some More Questionable "Proofs"
    • A.G: General Questions (1)

  • Chapter B: Appendix B
    • B.1: Complex Numbers and Arithmetic
    • B.2: Fundamental Theorem of Algebra
    • B.3: Abel—Ruffini Theorem

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Group Quantity Questions
Chapter A: Appendix A
A.G 1 501.XP
Chapter 1: Systems of Linear Equations
1.1 20 001 002 004 006 010 012 020 028 034 036 040 042 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP
1.2 16 006 007 008 010 012 021 026 030 032 036 038 044 046 501.XP 502.XP 503.XP
1.3 18 002 003 004 006 008 014 016 017 030 040 042 050 052 054 064 501.XP 502.XP 503.XP
Chapter 2: Vector Spaces
2.1 22 002 004 006 028 030 032 033 038 040 042 046 048 050 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP
2.2 9 001 002 004 006 008 010 012 014 501.XP
2.3 23 002 004 006 008 009 014 018 020 022 024 026 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP
2.4 20 001 002 004 006 008 010 014 016 018 020 022 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP
Chapter 3: Matrix Operations
3.1 34 002 004 007 008 010 012 018 042 044 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP
3.2 18 001 008 009 014 017 018 020 058 078 086 088 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP
Chapter 4: Determinants
4.1 14 001 002 004 007 008 010 012 014 016 017 018 501.XP 502.XP 503.XP
4.2 19 002 004 006 007 010 016 018 022 024 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP
Chapter 5: Vector Subspaces
5.1 16 004 006 008 040 048 049 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP
5.2 24 002 004 006 007 008 010 012 018 020 022 026 028 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP
5.3 17 004 006 007 008 010 012 014 016 018 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP
Chapter 6: Eigensystems
6.1 18 002 004 006 008 013 014 016 017 028 046 050 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP
Chapter 7: Inner-Product Vector Spaces
7.1 28 002 006 008 010 018 032 040 058 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP
7.2 11 001 004 006 008 010 012 014 018 020 501.XP 502.XP
7.3 501.XP
Chapter 8: Additional Topics
8.1 11 001 002 003 008 010 014 501.XP 502.XP 503.XP 504.XP 505.XP
8.2 13 002 004 006 008 009 010 012 014 501.XP 502.XP 503.XP 504.XP 505.XP
8.3 15 018 019 020 026 028 030 034 038 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP
Total 367 (1)