Lectures related to Derivatives of Composite Functions

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

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Covers the basics of matrix multiplication, including properties and examples.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Offers a quick review of key linear algebra concepts essential for further topics.

Explores matrix representations of linear maps and their invariance, using examples and special cases.