- 16 hrs lecture
- 16 hrs tutor session
- 16 hrs problem session
Linear Algebra 1
- The student is familiar with linear mappings.
- He/she is also familiar with matrices and matrix calculus.
- In particular, he/she knows the concept of determinants.
- The student knows how to apply matrices and determinants to solve systems of linear equations.
The mappings that 'fit with' vector spaces are the linear mappings. Examples are rotations and reflections in the plane or in the space. We will see how linear mappings can be described using matrices. In particular corresponds the composition of linear mappings with the multiplication of matrices.
An important tool in matrix calculus is the determinant which indicates e.g. directly whether a matrix is invertible. We will see how determinants can be computed and will see various properties of determinants.
Finally, we will see how matrices and determinants can be applied to the solution of systems of linear equations.
Klaus Jänich: Linear Algebra, Springer-Verlag 1994, ISBN 978-0-387-94128-8