Orthogonal Families and Linear Combinations

Related lectures (26)

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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.

Explains orthogonal families, bases, and projections in vector spaces.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Explains orthogonal projection onto a subspace and finding orthogonal bases using Gram-Schmidt procedure.

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

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Covers orthogonal projection, spectral decomposition, Gram-Schmidt process, and matrix factorization.

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

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