WORKING WITH MATRICES IN THE C++ PROGRAMMING LANGUAGE ENVIRONMENT

Аннотация

The C++ programming language uses two-dimensional or multi-dimensional arrays to work with matrices. Matrix elements can be entered manually or by the user, displayed on the screen, and operations such as addition, multiplication, and transposition can be performed. Matrices are mainly used in scientific calculations, graphics, and image analysis. This thesis discusses theadvantages of usingmatrices. Keywords:addition, multiplication, transposition, symmetric, column, row . A matrix is a rectangular table of numbers, algebraic expressions, or other elements, arranged in rows and columns. Each element is identified by its row and column indices. A matrix is usually written in square brackets or parentheses. For example, a 2×3 matrix has two rows and three columns. Matrices are widely used in mathematics, physics, computer science, and other sciences to model various processes, solve equations, process graphs, and create algorithms. Operations such as addition,multiplication ,and transpositioncan beperformed onamatrix. Arrays are used to work with matrices in the C++ programming language. A matrix is a two- dimensional array consisting of rows and columns. The following are the basic methods for working with matrices and performing operations onthem. Creating aMatrix Amatrix is created bydeclaring a two-dimensional array. #include using namespace std; intmain() { const introws =3; //Number of rows const intcols =3; //Number ofcolumns intmatrix[rows][cols]= { {1, 2,3}, {4, 5,6}, {7, 8,9} }; //Display the matrix for(int i = 0;i using namespace std; intmain() { 384 INTERNATIONAL MULTIDISCIPLINARY JOURNAL FOR RESEARCH & DEVELOPMENT SJIF2019:5.2222020:5.5522021:5.6372022:5.4792023:6.5632024:7,805 eISSN:2394-6334 https://www.ijmrd.in/index.php/imjrd Volume12,issue05(2025) const introws =2; const intcols =3; intmatrix[rows][cols]; //Get matrix elements from the user cout > matrix[i][j]; } } //Matritsani ekranga chiqarish cout using namespace std; intmain() { const introws =2,cols = 2; intmatrix1[rows][cols]= {{1, 2},{3, 4}}; intmatrix2[rows][cols]= {{5, 6},{7, 8}}; intresult[rows][cols]; //Qo‘shish for(int i = 0;i using namespace std; intmain() { const introws1 =2,cols1 = 3,rows2 =3,cols2 =2; intmatrix1[rows1][cols1]= {{1, 2,3},{4, 5,6}}; intmatrix2[rows2][cols2]= {{7, 8},{9, 10}, {11, 12}}; intresult[rows1][cols2]= {0}; //Matritsalarni ko‘paytirish for(int i = 0;i <rows1; i++) { for(int j = 0;j <cols2; j++) { for(int k= 0; k<cols1; k++) { result[i][j]+=matrix1[i][k]*matrix2[k][j]; } } } //Natijani chiqarish cout << "Ko‘paytirilgan matritsa:" << endl; for(int i = 0;i <rows1; i++) { for(int j = 0;j <cols2; j++) { cout << result[i][j]<<" "; } cout << endl; } return 0; } The transpose of a matrix is the process of converting the rows of a matrix into columns and the columns into rows. If the matrix A is of dimension m×n , then its