Lectures related to Orthogonal Linear Maps

Covers the basics of linear mapping and coordinate systems.

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

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores the fundamental theorem on singular values and the formation of orthonormal bases from eigenvectors.