ABSTRACT
Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra,
TABLE OF CONTENTS
part 1|2 pages
Part I: Background on Algebraic Structures
part 2|2 pages
Part II: Matrices
part 3|2 pages
Part III: Matrices with Special Structure
part 4|2 pages
Part IV: The Interplay of Geometry and Linear Algebra
part 5|2 pages
Part V: Modules, Independence, and Classification Theorems
part 6|2 pages
Part VI: Universal Mapping Properties and Multilinear Algebra