Book 2012

Linear Algebra and Linear Models

Authors:

ISBN: 978-1-4471-2738-3 (Print) 978-1-4471-2739-0 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-VIII

  2. No Access

    Chapter

    Pages 1-8

    Vector Spaces and Subspaces

  3. No Access

    Chapter

    Pages 9-19

    Rank, Inner Product and Nonsingularity

  4. No Access

    Chapter

    Pages 21-29

    Eigenvalues and Positive Definite Matrices

  5. No Access

    Chapter

    Pages 31-36

    Generalized Inverses

  6. No Access

    Chapter

    Pages 37-50

    Inequalities for Eigenvalues and Singular Values

  7. No Access

    Chapter

    Pages 51-60

    Rank Additivity and Matrix Partial Orders

  8. No Access

    Chapter

    Pages 61-77

    Linear Estimation

  9. No Access

    Chapter

    Pages 79-98

    Tests of Linear Hypotheses

  10. No Access

    Chapter

    Pages 99-114

    Linear Mixed Models

  11. No Access

    Chapter

    Pages 115-128

    Miscellaneous Topics

  12. No Access

    Chapter

    Pages 129-134

    Additional Exercises on Rank

  13. No Access

    Chapter

    Pages 135-156

    Hints and Solutions to Selected Exercises

  14. No Access

    Chapter

    Pages 157-159

    Notes

  15. Back Matter

    Pages 161-167