Syllabus
- standard and abstract scalar product, orthogonal basis, Gram-Schmidt orthogonalization,
- orthogonal and unitary mappings and matrices, rotations (especially in 3D), group properties,
- eigenvalues, eigenvectors, diagonalization, Jordan canonical form,
- unitary and orthogonal diagonalization, spectral theorems, singular value decomposition,
- bilinear and quadratic forms, their matrix, orthogonalization, inertia theorem,
- geometry in R3
Annotation
The second introductory lecture in linear algebra for General Mathematics, Financial Mathematics, and Information
Security