Lectures related to Orthogonality and Least Squares Methods

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

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

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Orthogonality and Least Squares Method

Introduces orthogonal vectors, scalar product, Euclidean norm, Pythagorean theorem, and unit vectors.

Orthogonal Families & Projections

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

Signal Representations

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.