Course Notes
Comprehensive linear algebra notes organized by topic.
Foundations
Sets, notation, and mathematical foundations
Vector Spaces
Vector spaces, subspaces, spans, basis, and dimension
Functions & Mappings
Functions, injectivity, surjectivity, and bijections
Matrices
Matrix operations, Gaussian elimination, and RREF
Linear Transformations
Transformations, null space, image, and spectral theory
Applications
Systems of linear equations and practical applications
Weekly Summaries
Week-by-week course coverage and key topics