Lectures related to Orthogonal Projection: Geometrical Interpretation

Introduces the Gram-Schmidt algorithm, QR factorization, and the method of least squares.

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

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

Explores vector approximation and distance calculation through exercises and solutions, focusing on orthogonal projections and vector spaces.

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