Lectures related to Untitled | EPFL Graph Search

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

Covers strategies for matrix operations and the concept of vector spaces.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

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.

Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores the definition and properties of Hermitian forms in complex vector spaces.

Explains orthogonal projection on a vector subspace in Euclidean space.