Systems of linear equations and the geometry of planes

What this note covers

1. Unique solution
2. No solution
3. Redundant equations and a plane of solutions
4. Three planes sharing a line
5. Parameter-dependent systems
6. Geometric interpretation
7. Gaussian elimination as three-plane geometry
8. Classifying plane arrangements and parameter thresholds

8 sections · 10 key terms & formulas · 6 common mistakes