Definition 1:Matrix of the dimension m on n (m x n) it is the rectangular table of numbers containing m of lines and n of column. The numbers making a matrix, are called the elements of a matrix.
Matrixes are designated by uppercase letters of the Latin alphabet, for example: A, B, C, … Elements of a matrix are designated by lowercase letters with double indexation, for example: aij, where i – number of line, j – number of column.
General view of a matrix is:
, where .
Brief record of a matrix Full record of a matrix
Examples of matrixes:
Definition 2:Two matrixes of one dimension are called equal if they coincide element-by-element, that is for all .