Detailed proofs and explanations of all theorems, formulas, and algorithms for a solid theoretical foundation
Python code examples for matrix calculations, visualization, and symbolic computations to enhance practical understanding
Unified overview of linear structures from the perspective of functional analysis and advanced topics like Fourier analysis
Includes advanced topics such as eigenvalues, Jordan normal forms, and singular value decomposition for broader applicability
All code examples executable on Windows, macOS, and Raspberry Pi for maximum accessibility
Summarized by Shop
This textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner prod