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Book Title: Matrices

Author: Kuei-Nuan Lin

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Contents

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  1. Chapter 1
    1. Section 1.1 Linear Equations

    2. Section 1.2 Gaussian Elimination

    3. Section 1.3 Homogeneous Equations

  2. Chapter 2
    1. Section 2.1 Matrix Addition, Scalar Multiplication, and Transposition

    2. Section 2.2 Equations, Matrices, and Transformations Equations

    3. Section 2.3 Matrix Multiplication

    4. Section 2.4 Matrix Inverses

    5. Section 2.5 Elementary Matrices

    6. Section 2.6 Linear Transformations

  3. Chapter 3
    1. Section 3.1 The Cofactor Expansion

    2. Section 3.2 Determinants and Matrix Inverses

    3. Section 3.3 Diagonalization and Eigenvalues

  4. Chapter 4
    1. Section 4.1 Subspaces and Spanning

    2. Section 4.2 Independence and Dimension

    3. Section 4.3 Orthogonality

    4. Section 4.4 Rank of a Matrix

    5. Section 4.5 Similarity and Diagonalization

    6. Section 4.6 Best Approximation and Least Squares

  5. Chapter 5
    1. Section 5.1 Orthogonal Complements and Projections

    2. Section 5.2 Orthogonal Diagonalization

Book Information

Author

Kuei-Nuan Lin

License

Icon for the Creative Commons Attribution 4.0 International License

Matrices Copyright © by Kuei-Nuan Lin is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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Metadata

Title
Matrices
Author
Kuei-Nuan Lin
License

Icon for the Creative Commons Attribution 4.0 International License

Matrices Copyright © by Kuei-Nuan Lin is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

Click for more information

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