|Matrices, determinants and systems of linear equations.
||Definition and types of matrices.
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.
||Concept and properties.
Conditional probability and independence of events.
|Discrete random variables and continuous random variables.
||Definition of random variable. Types of random variables.
Discrete random variables. Continuous random variables.
Characteristics of a random variable.
Main distributions: Binomial, Geometric, Poisson, Hypergeometric, Uniform, Exponential, Normal.
Central Limit Theorem.
Tests of hypotheses.