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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