Students learn the following skills
- Solving linear equations using Gaussian elimination (k3).
- Solving problems involving planes, lines and their rotations and
reflections (k2,k3).
- Computing determinants, inverses, eigenvalues and eigenvectors of
matrices (k3).
- Determining whether a set of vectors is linear independent (k3).
- Analysis and construction of linear maps between vector spaces and
in particular rotations and reflections (k3).
- Familiarity with the notion of abstraction (for example the
definition of a vector space in terms of axioms) (k1,k3).
- Using mathematical notation for solving problems involving
parameters instead of solving just one concrete example (k2,k3).
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Students learn the following concepts from linear algebra.
- Vectors algebra including orthogonal projection of vectors and the
cross product.
- Parametric and implicit representation of lines and planes in
3-dimensional space.
- Matrix operations including matrix inverse and determinant.
- Vector spaces and their bases.
- Linear maps and their representation in terms of matrices.
- Eigenvectors and eigenvalues.
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