Learning outcomes of the course unit
The course is aimed at providing students with the basic concepts of
linear algebra. On completion of this module, students should be able to:
a) deal with and solve elementary problems in linear analytic geometry,
b) operate with matrices and solve systems of linear equations,
c) solve simple aigenvalue problems.
High school mathematics.
Course contents summary
1. Linear analytic geometry in Euclidean space: space vectors, scalar
product, vector cross product, lines, planes, and their reciprocal positions.
2. Vectors, matrices, linear systems: R^n as a vector space, operations
on matrices, determinants, rank, linear systems, dependent and independent
vectors, basis of a vector space, dimension.
3. Linear transformations and diagonalization: change of coordinates,
matrices and linear transformations, eigenvalues, eigenvectors, diagonalization.
L. Alessandrini, L. Nicolodi, Geometria A, UNI.NOVA, Parma, 2002.
S. Lang, Linear algebra, Springer; 3rd edition, 2004