Vector Spaces and Scalar Products

Related lectures (30)

Page 3 of 3

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Explores pre-Hilbertian spaces, focusing on dot product properties and algebraic bases.

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

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

Explores the properties and applications of the dot product in vector spaces.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

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

Explores norm, dot product, and orthogonality in vector spaces, including properties and inequalities.

Covers matrix operations, scalar products, vector norms, and orthogonality in vector spaces.