Lectures related to Untitled | EPFL Graph Search

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

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

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

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

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

Covers matrix notation for linear equations, solutions, and geometric interpretations.

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

Explores linear dependence and independence of vectors in geometric spaces.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

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

Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.

Explores matrix equations, homogeneous systems, solutions, consistency, and properties.

Introduces algebraic properties, vector equations, and matrix operations.

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

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Covers reducing matrices, uniqueness of row-echelon form, and identifying points using vectors.

Covers the basics of linear mapping and coordinate systems.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers linear independence, bases, and coordinate systems with examples and theorems.