Scalar Product and Euclidean Spaces

Related lectures (32)

Page 3 of 4

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Explores the best quadratic approximation in Euclidean spaces, emphasizing least squares.

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Covers the geometric properties of the dot product and its algebraic aspects.

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

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

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.

Covers the basics of vector spaces, including operational definitions, properties, examples in RN, inner products, norms, and distances.