# Linear algebra

### Bodies

This article discusses one of the most basic structures in linear algebra. You will learn what solids are in algebra, how to work with them, and how they are defined mathematically. We will construct a simple solid directly step by step and you will also see examples of other possible solids and their uses.

### Session

Explanation of the concept of a relation, sample examples, binary relations, definitions of reflexive, symmetric, antisymmetric and transitive relations.

### The Matrix

Basic concepts, what is a matrix, how do we write a matrix, special types of matrices, operations on matrices, equivalent row and column arrangements, rank of a matrix.

### Rank math

What is the rank of a matrix, how do we calculate the rank of a matrix and what can we use this number for.

### Inverse matrices

What is the inverse of a matrix, how do we calculate the inverse of a matrix and what can we use this number for.

### Determinants

The sign of a permutation of a set, the definition of a determinant, different methods of calculating determinants - Sarrus rule, LaPlace's method of line development.