Lectures related to Linear Transformations: Isomorphism and Dimension

Covers dimension theorems for linear transformations, bijectivity, isomorphism, dual spaces, and canonical applications.

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

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers the method to calculate the images of vectors in a given base.

Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.