| Inhalt |
Vectors
- Addition, Scalar Multiplication
- Scalar Product
- Cross Product
- Representations of Lines and Planes
Matrices
- Addition, Scalar Multiplication
- Matrix Product
- Transpose
- Rank
Systems of Linear Equations
- Gaussian Elimination Method
- Gauss-Jordan Algorithm
Inverse Matrices
Determinants
Eigenvalues, Eigenvectors
- Eigenspace
- Geometric and Algebraic Multiplicity
- Diaganolization
Linear Functions
- Representation by a Matrix
- Reflections, Rotations
- Change of Basis
|
| Literatur |
Poole: Linear Algebra: A Modern Introduction, 4th edition, Cengage Learning, 2014
Strang: Introduction to Linear Algebra, 4th edition, Wellesley-Cambridge Press, 2009
Papula: Mathematik für Ingenieure und Naturwissenschaftler; Vieweg+Teubner Verlag, 2011 (Band 1 und Band 2) (e-book)
Burg, Haf, Wille: Höhere Mathematik für Ingenieure: Band2: Lineare Algebra; Springer Vieweg, 2013 (e-book) |
| Lernziele |
Students understand and can describe knowledge in following topics: Vector Spaces, Systems of Linear Equations, Vector and Matrix Calculus, Linear Mappings.
They can apply methods and can compute solutions in the fields named above. |
