Linear Algebra (Age 19, US Bachelor’s 2)
About This Textbook
This textbook helps students to master the material of a standard US undergraduate first course in linear algebra. A prerequisite for the course is a background of at least one semester of calculus.
Textbook Details
| Author | Jim Hefferon |
|---|---|
| Age / Grade | Age 19 / US Bachelor’s 2 |
| Original Language | English |
| License Type | Creative Commons Attribution-ShareAlike 3.0 United States (CC BY-SA 3.0 US) This means users are free to copy, redistribute, remix, and build upon the material for any purpose, even commercially, as long as they follow the terms of this license. Learn more about this license at creativecommons.org/licenses/by-sa/3.0/us/. |
| Download | Download PDF |
Table of Contents
Linear Systems (Solving Linear Systems, Linear Geometry, Reduced Echelon Form) — Vector Spaces (Definition of Vector Space, Linear Independence, Basis and Dimension) — Maps Between Spaces (Isomorphisms, Homomorphisms, Computing Linear Maps, Matrix Operations, Change of Basis, Projection) — Determinants (Definition, Geometry of Determinants, Laplace’s Formula) — Similarity (Complex Vector Spaces, Similarity, Nilpotence, Jordan Form)