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Related lectures (29)

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Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

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

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

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

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

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

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

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

Covers the definition of norm, distance between vectors, and Cauchy-Schwarz inequality.