Zbirka zadataka iz linearne algebre

The collection is divided into eight paragraphs:

1. Vectors and operations with them: Basic operations, linear dependence and independence of vectors.
2. Vector spaces: Introduction to vector spaces, bases and coordinates.
3. Geometry of the plane and space: Vectors in the plane and space, curves and surfaces of the second order.
4. Matrices and linear operators: Basic properties of matrices, linear operators in the plane and space.
5. Systems of linear algebraic equations: Different solving methods (eg Gaussian elimination).
6. More advanced topics of matrices: Minimal polynomials of matrices, addition to textbook material.
7. Theory of ordinary differential equations: Application of linear algebra to differential equations.
8. Elements of group theory: Introduction to the basic concepts of groups.