1. Students have shown that they know and understand the mathematical language and the abstract-rigorous reasoning, as well as to apply them to state and prove precise results in several areas of mathematics.
2. Students have shown that they understand the fundamental results of linear algebra, matrix theory and linear geometry concerning spectral theory of matrices and linear transformations, symmetric and Hermitian matrices, affine spaces and projective geometry.
3. Students are able to use techniques from linear algebra, matrix theory and linear geometry to construct mathematical models of processes that appear in real world applications.
4. Students are able to communicate, in a precise and clear manner, ideas, problems and solutions related to linear algebra, matrix theory and linear geometry to any kind of audience (specialist or not).