METHODICAL SYSTEM OF TEACHING CONTENT ELEMENTS RELATED TO THE MATRIX CONCEPT OF THE SUBJECT OF ALGEBRA

The article emphasizes that the algebra course consists of various topics. One such discussion is "System of Linear Algebraic Equations". The theory of matrices and determinants is widely used in algebra to solve and study systems of linear equations. Therefore, as students gain knowledge and skills related to the matrices, it gradually becomes possible to give a broader explanation of these issues. Therefore, first of all, the definition of a matrix should be clarified - a matrix is a rectangular table made up of most m∙n numbers, about the characteristic features of different forms and types of a matrix, specifically n - the order of trapezoidal, triangular-diagonal, scalar, uniform matrix types of identity matrices should be considered necessary bring information to the attention of students studying algebra. In the article, the concept of the rank of a matrix, calculations on matrices, basic properties, calculation on matrices, permutation of the product of matrices, uniform, proper and non-proper matrices, the concept of an inverse matrix, elementary matrices. As elements of the content associated with the concept of matrices in algebra, methods for calculating the inverse matrix are considered and a methodological system for teaching them is presented