## Linear Systems of equations, matrices and determinants

### Teaching unit

### Description

### Objectives

To acquire and to use fluently the mathematical, both language oral and written, being rigorous in the formalization and structure of a royal problem in format of mathematical problem.

To know the linear equations of system theory and to be able to apply it to real situations with help of the computer, understanding the used algorithms.

To acquire and to apply, of autonomous form and to interdiscipline, new concepts and methods related to the subject and to use adequately the usual terminology of the subject.

To handle correctly the bibliography and the available sources of information to reinforce and to extend knowledge as well as couple to extend the aptitude to consider and solve in a mathematical way diverse problems that could appear and to be related to the Algebra.

To use diverse technological tools (as IT software) that facilitate the resolution of mathematical problems and to understand the limitations of the above mentioned tools.

To recognize and to understand some of the capacities, aptitudes and knowledge that the subject contributes for the development of the professional profile of the Engineer in Computer science in Technologies of the Information.

To know the theory of matrices and determinants and to be able to carry out the corresponding calculations.

### Subjects

#### Lecture topics

- Linear systems introduction
- Matrices
- Determinants
- Inverse matrix
- Rank of a matrix
- Applications of matrix algebra to solve linear systems of equations
- Applications. Graphs

#### Laboratory topics

- Graph Theory