Orthogonal Families & Projections

Related lectures (24)

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

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

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

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Covers the concept of orthogonal complement and projection in vector spaces.

Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.

Introduces orthogonal sets and bases, discussing their properties and linear independence.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.