## Matrices.

### Teaching unit

### Description

In this chapter we introduce the concept of matrix and the various operations that can be done with them.

### Objectives

Acquire and use mathematical language fluently, both orally and in writing, and rigorous formalization and structuring of a real problem in the form of mathematical problem.

Know the theory of matrices and determinants, matrix operations and dominate the calculation of determinants. Apply the matrix calculus to the discussion and resolution of systems of linear equations. Get the inverse of a matrix.

Correctly handle the literature and information sources available to strengthen and expand knowledge and increase torque capacity to pose and solve mathematical so many problems that may arise and relate to the subject.

Use various technological tools (such as computer software) that facilitate solving math problems and understand the limitations of such tools.

### Subjects

#### Lecture topics

- Matrix concept. Matrix operations
- Determinant of a square matrix. Properties of determinants.
- Rank and inverse of a matrix

#### Laboratory topics

- Matrix operations.
- Calculation of determinants.
- Calculating the inverse of a matrix.