| Area of Mathematics: | Algebra & Geometry | ||
| Semester: | 3rd | ||
| Course ID: | 31202 | ||
| Course Type: | Compulsory | ||
| Teaching hours per week: | Theory: 4 | Practice: 1 | Laboratory: 0 |
| ECTS : | 6 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Aikaterini Aretaki | ||
Description
- Eigenvalues and eigenvectors
- The Cayley-Hamilton theorem. Minimal polynomial.
- Triangularizable linear maps. Diagonalizability. Jordan canonical form. Applications.
- Vector spaces with inner products and norms.
- Orthogonal diagonalization.
- Normal, unitary, Hermitian and symmetric matrices and diagonalization.
- Bilinear and quadratic forms.
Bibliography
- G. Strang. Linear Algebra and Its Applications, 4th edition. Cengage Learning, 2005.
