Linear Algebra and Matrices
β Scribed by Shmuel Friedland, Mohsen Aliabadi
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2018
- Tongue
- English
- Leaves
- 293
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front cover
Title page
Contents
Preface
List of Symbols
Chapter 1: Basic facts on vector spaces, matrices, and linear transformations
Chapter 2: Canonical forms
Review Problems (1)
Chapter 3: Applications of the Jordan canonical form
Chapter 4: Inner product spaces
Chapter 5: PerronβFrobenius theorem
Chapter 6: Tensor products
Review Problems (2)
Challenging Problems
Appendix A: Sets and mappings
Appendix B: Basic facts in analysis and topology
Appendix C: Basic facts in graph theory
Appendix D: Basic facts in abstract algebra
Appendix E: Complex numbers
Appendix F: Diο¬erential equations
Appendix G: Basic notions of matrices
Bibliography
Index
Back cover
π SIMILAR VOLUMES
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course i
https://www.mathstat.dal.ca/~selinger/linear-algebra/
Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and acc