Linear Algebra Course
A concise, structured course covering core linear algebra concepts with worked examples and progressive exercises.
Course Structure
9 comprehensive lessons with prerequisites, objectives, and examples
Learn by Doing
Each lesson includes worked examples and practice problems
Progressive Difficulty
Build from fundamentals to advanced topics step by step
Rank and nullity
Definition of rank. Column and row rank equality. Nullspace and rank-nullity theorem: $\dim(\mathrm{Im})+\dim(\mathrm{Ker})=n$ for linear map $\mathbb{R}^n\to\mathbb{R}^m$.