Lectures related to Orthogonal transformation

Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.

Covers the properties and applications of orthogonal matrices.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.