Orthogonal Complement and Projection

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Related lectures (23)

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Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.

Linear Independence and Bases in Vector Spaces

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Polynomials: Operations and Properties

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

Projection in Vector Spaces

Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.

Orthogonal Complement in Rn

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

Orthogonal Projection on Vector Subspace

Explains orthogonal projection on a vector subspace in Euclidean space.

Vector Calculus in 3D

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

Orthogonal Bases in Vector Spaces

Covers the concept of orthogonal bases in vector spaces and Pythagorean theorem applications.

Orthogonality and Least Squares Methods

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

Orthogonal Projection: Example and Additional Remarks

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