Lectures related to Orthogonal Projection on Vector Subspace

Orthogonal Families and Projections

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Matrix Operations and Orthogonality

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Orthogonal Sets and Bases

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

Orthogonal Projection in Linear Algebra

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

Orthogonality and Subspaces

Explores orthogonality, vector norms, and subspaces in Euclidean space, including determining orthogonal complements and properties of subspaces and matrices.

Orthogonality: Norm, Scalar Product, Perpendicularity

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Orthogonal Bases, Orthonormal/Orthonormalized Bases

Introduces orthogonal and orthonormal families in vector spaces with scalar products.