Free public beta until December 4, 2026: every course is open, no card needed. After that, the first chapter of each course stays free and full access is a one-time $39 ($19 for up to 100 founding members chosen for helpful feedback). Your progress is kept. How the beta works

linear-algebra

The rank-nullity theorem

taught

Taught in

Linear maps, kernel, image, and rank-nullity
Advanced Linear Algebra
The rank-nullity theorem
Linear Algebra — Vectors, Matrices, and the Geometry of Data

Requires

rank required

Required by

The big picture: how the four subspaces fit together required
The first isomorphism theorem for vector spaces required

Local knowledge map

Local knowledge map

Click to expand

Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.