Lectures related to Linear Applications in 3D: Rank Theorem

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

Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Explores tangent spaces as free movement directions on submanifolds, offering a geometrically satisfying linearization notion.

Explores the kernel of a linear transformation and the concept of preimage.

Covers the basics of linear mapping and coordinate systems.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Discusses the image of a linear application, its rank, and related concepts in linear algebra.