Matrices, determinants and systems of linear equations. |
Definition and types of matrices.
Matrices operations.
Elementary transformations, row echelon forms, rank of a matrix.
Inverse and determinant of a square matrix.
Consistency of systems of linear equations and their solutions. |
Eigenvalues and eigenvectors. |
Definition of eigenvalue and eigenvector of a square matrix.
Diagonalization of matrices by similarity transformation.
Applications of eigenvalues and eigenvectors. |
Descriptive statistics and regression. |
Concept and uses of the statistics. Variables and attributes. Types of variables. Tables of frequencies and graphical representations. Position and dispersion measures. Analysis of bivariate data. Linear regression. Correlation. |
Discrete random variables and continuous random variables. |
Definition of random variable. Types of random variables.
Distribution function.
Discrete random variables. Continuous random variables.
Characteristics of a random variable.
Main distributions: Binomial, Geometric, Poisson, Hypergeometric, Uniform, Exponential, Normal.
Central Limit Theorem. |