Course: Linear Algebra
ECTS points: 6 ЕКТС
Number of classes per week: 3+0+0+3
Lecturer: Assoc. Prof. Dr. Biljana Nachevska – Nastovska
Course Goals (acquired competencies): Afer completing this course, the student willl have advanced knowledge in the theory of matrices and matrix analysis and will be able to apply it in practical problems.
Course Syllabus: Matrix algebra and vector spaces. Linear transformations. Norms, inner products and orthogonality. Matrix decomposition. Least squares method. Eigenvalue spaces. Normal and positive definite matrices. Generalized inverses and applications. Perron-Frobenius Theory for nonnegative matrices. Stohastic matrices and Markov Chains. Matrix inequalities.
|Carl D. Meyer||Matrix Analysis and applied Linear Algebra||SIAM||2000|
|Peter Lancaster, Miron Tismenetsky||The Theory of Matrices||Academic Press||2007|
|Gilbert Strang||Linear Algebra and its Applications||Brooks Cole||2006|