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.