Lectures related to Orthogonal Matrices: Properties and Applications

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explains orthogonal bases in R^2 and how to perform orthogonal projections.

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