Lectures related to Rank (differential topology)

Covers the basics of linear algebra, including rank, differentiable applications, and submersions.

Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.