Linear Algebra and Matrix Analysis for Statistics
eBook - PDF

Linear Algebra and Matrix Analysis for Statistics

  1. 580 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Linear Algebra and Matrix Analysis for Statistics

About this book

Assuming no prior knowledge of linear algebra, this self-contained text offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book covers important topics in linear algebra that are useful for statisticians, including the concept of rank, the fundamental theorem of linear algebra, projectors, and quadratic forms. It also provides an extensive collection of exercises on theoretical concepts and numerical computations.

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Yes, you can access Linear Algebra and Matrix Analysis for Statistics by Sudipto Banerjee,Anindya Roy in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication
  7. Contents
  8. Preface
  9. 1. Matrices, Vectors and Their Operations
  10. 2. Systems of Linear Equations
  11. 3. More on Linear Equations
  12. 4. Euclidean Spaces
  13. 5. The Rank of a Matrix
  14. 6. Complementary Subspaces
  15. 7. Orthogonality, Orthogonal Subspaces and Projections
  16. 8. More on Orthogonality
  17. 9. Revisiting Linear Equations
  18. 10. Determinants
  19. 11. Eigenvalues and Eigenvectors
  20. 12. Singular Value and Jordan Decompositions
  21. 13. Quadratic Forms
  22. 14. The Kronecker Product and Related Operations
  23. 15. Linear Iterative Systems, Norms and Convergence
  24. 16. Abstract Linear Algebra
  25. References
  26. Index