Lectures related to Linear Applications: Kernel and Image

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

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Explores linear applications, vector spaces, kernels, and invertibility in linear algebra.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

Explores geometric transformations in R2 and R3, including linear transformations, projections, matrices, and trace properties.

Introduces the kernel of a linear application and its properties.