Lectures related to Linear Application Image and Rank

Introduces the kernel of a linear application and its properties.

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers the basics of linear mapping and coordinate systems.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Explores subspaces, matrix equations, linear transformations, and their matrix representations in linear algebra.