Lectures related to Orthogonality and Least Squares

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

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

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

Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.

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

Explores the scalar product of vectors, including properties and calculation methods.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Explores orthogonal complement and projection theorems in vector spaces.