OBTAIN GOOD KNOWLEDGE OF THE CONCEPTS AND METHODS OF BASIC LINEAR ALGEBRA, WITH SPECIAL EMPHASIS ON THE STUDY OF LINEAR SYSTEMS, MATRICES AND DETERMINANTS, VECTOR SPACES AND LINEAR MAPS, AFFINE GEOMETRY.
Matrices - Linear systems - Vector Spaces - Subspaces - Bases - Dimension - Rank - Determinants - Affine Spaces - Subspaces - Geometry in an affine plane - Geometry in an affine space of dimension 3 - Linear maps - Matrices and linear maps - Change of coordinates - Linear operators and square matrices - Eigenvectors, eigenvalues and their computation - Diagonalization of linear operators and of square matrices via the study of eigenspaces.