| Area of Mathematics: | Algebra and Geometry | ||
| Semester: | 2ο | ||
| Course ID: | 21202 | ||
| Course Type: | Compulsory | ||
| Teaching hours per week: | Theory: 4 | Practice: 2 | Laboratory: 0 |
| ECTS : | 7 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Dimitra-Dionisia Stergiopoulou | ||
Description
- Equivalence relations.
- Matrix algebra and properties of matrix operations. Invertible matrices and their properties. Computation of the inverse of a matrix.
- Vector spaces and subspaces. Sum, intersection and the orthogonal complement of vector subspaces. Linear combinations, linear independence and dependence of vectors. Basis and dimension of a vector space. The dimension theorem.
- Linear maps. The kernel and the image of a linear map, dimension theorem. The rank-nullity theorem. Transition matrix. Change of basis and matrix similarity.
- Determinants and their properties.
- Linear systems.
Bibliography
- G. Strang. Linear Algebra and Its Applications, 4th edition. Cengage Learning, 2005.
