Lectures related to Orthogonality and Orthogonal Bases

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.

Finding Orthogonal/Orthonormal Base: First Step

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.

Linear Algebra: Vector Spaces and Linear Independence

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.

Orthogonal Bases in Vector Spaces

Explores orthogonal bases in vector spaces, explaining unique vector representations and spectral decomposition.

Linear Algebra: Matrices and Vector Spaces

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.