Lectures related to Untitled | EPFL Graph Search

Covers the basics of linear mapping and coordinate systems.

Explains linear independence, basis, and matrix rank with examples and exercises.

Introduces the concept of basis and canonical basis in linear algebra, essential for vector space representation.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers linear independence, bases of vectors, and solving systems using matrices.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

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

Introduces linear applications in 3 dimensions, defining them as functions that preserve vector addition and scalar multiplication.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

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

Explores canonical basis, linear mapping, and eigenvalues in linear algebra.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

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

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

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.