Lectures related to Orthogonal Projection: Euclidean Space

Linear Algebra Basics

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Orthogonal Projection: Geometrical Interpretation

Explains finding the closest point on a plane using orthogonal projection.

Orthogonality and Subspaces

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

Orthogonal Matrices, Equivalences

Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.

Least Squares Solutions

Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.

Orthogonality and Gram-Schmidt Process

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.

Orthogonal Complement and Projection Theorems

Explores orthogonal complement and projection theorems in vector spaces.

Orthogonal Projections and Best Approximation

Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.