Syllabus
- Vector spaces over the field and their subspaces with applications. Vector spaces with scalar product. - Matrix over a field, ortogonal matrices, similar matrices.
Block matrices. - Systems of linear equations over a field, linear transofrmations. - Bilinear and quadratic forms and their matrix representation. - Linear figures in 3D. - Further applications.
Annotation
The course extending the course Linear algebra focusing on inner product spaces, bilinear and quadratic forms, normed and metric spaces, eigenvalues and eigenvectors. The gained knowledge and skills belong to the elements useful for further mathematics courses.