Lectures related to Orthogonality and Projections

Covers the theorems related to orthogonal projection and orthonormal bases.

Delves into advanced physics concepts like uniform motion, vectors, and three-dimensional movement, with practical exercises on kinematics and coordinate systems.

Vector Algebra: Scalar Product

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

Orthogonal Projection in Linear Algebra

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

Eigenvalues and Eigenvectors Decomposition

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Singular Value Decomposition: Orthogonal Vectors and Matrix Decomposition

Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.

Mathematical Basics: Vectors

Covers the fundamental concepts of vectors, including their characteristics and calculation methods.