Linear Algebra – Age 19 (Bachelor's)
Grade Equivalents
| 🇺🇸 United States | College Sophomore |
| 🇬🇧 United Kingdom | University Year 2 |
| 🇮🇳 India | B.A./B.Sc. Year 2 |
| 🇳🇬 Nigeria | University Year 2 |
| 🇿🇦 South Africa | University Year 2 |
| 🇦🇺 Australia | University Year 2 |
| 🇨🇦 Canada | University Year 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.
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)