Orthogonal complement

Related lectures (29)

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

Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.

Explores orthogonal projection in Euclidean space, emphasizing uniqueness and calculation methods.

Covers the concept of orthogonal complements in vector spaces and methods for determining them.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Covers the analytical expression of orthogonal projections and reflections in 2D space.

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

Explains finding the closest point on a plane using orthogonal projection.

Explains orthogonal projection in linear algebra, focusing on transforming non-orthogonal bases into orthogonal ones.

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