Vector space

Related lectures (28)

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

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

Covers the fundamental concepts of vectors, including their characteristics and calculation methods.

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

Covers vector equations, linear combinations, and the span of vectors.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.