- The student can analyze and interpret systems of linear equations using matrix and vector calculus
- The student can apply the basic concepts of linear algebra such as vector spaces, dimension, linear transformations
- The student can prove theorems related to the basic concepts of linear algebra such as vector spaces, dimension, linear transformations
- The student can reason mathematically correct
- The student can apply basic concepts of linear algebra in MATLAB and interpret the results
- The final grade is determined by a midterm (10%), an assignment (10%) and a final test (80%).
- The final grade of the resit is determined by the assignment (10%) and the resit (90%).
|Systems of linear equations are often used in economics. For this reason a course is included in the first year's program that concentrates on this topic: Linear Algebra. In this course a method is discussed to decide whether the system has none, one or multiple solutions. With this method the solution set itself can be determined and furthermore it gives insight in its geometric structure. For the special case that the number of equations equals the number of variables, a simple criterion can be deduced to check whether the system has precisely one solution. This criterion can also be used to actually calculate this unique solution. In this course several tools are introduced that will be used in other courses of the program. Some key words: system of linear equations, Gaussian elimination, matrices, vectors, linear transformations, determinants, linear subspaces, dimension, basis, rank, orthogonality, projections. |
Type of instructions4 hours lecture (English) or 4 hours lecture (Dutch), 2 hours tutorial (bi-lingual) and 1 hour computer lab (bi-lingual)
Type of examswritten exam (0,8), midterm (0,1), assignment (0,1)
- D.C. Lay et al., Linear Algebra and its Applications, Pearson, Fifth Edition.