Lectures related to Untitled | EPFL Graph Search

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

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

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

Covers the definitions and properties of matrices, including matrix operations and determinants.

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

Covers the Cayley-Hamilton theorem, demonstrating matrix self-satisfaction and validity of introduced processes.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

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

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

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

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

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

Covers LU factorization, determinants, subspaces, and matrix products.

Introduces Convex Optimization notation, convex functions, vector norms, and matrix properties.

Covers the basics of linear mapping and coordinate systems.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Introduces algebraic properties, vector equations, and matrix operations.

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