Weekly Hours: 5
Course Homepage: http://ecourse.uoi.gr/enrol/index.php?id=1347
Description: Elements of Set Theory, equivalence relations, transformations, mathematical induction. Introduction to matrix theory, matrix addition, multiplication and inversion. Linear systems, matrix equivalence, determinants, methods for solving linear systems. Vector spaces and subspaces. Linear combinations and dependence of vectors. Vector space basis and dimension. Linear transformations and matrices. Matrix equivalence and similarity transformation. Eigenvalues, eigenvectors and matrix diagonalization. Applications of linear algebra and linear systems.