Transpose of a Matrix

Transpose of a matrix” is a basic problem on matrix where we interchange the row and columns with each other. Here, we are given a matrix of size N*M and our task is to find the transpose of the matrix by interchanging the row and columns.

The resultant matrix will be of size M*N.


N = 3, M = 2


Transposed Matrix

C++ Program to find transpose of a matrix is as follows:

/* Program to find transpose of a Matrix */
using namespace std;  
int main()  

    int N,M;  
    // Scan Dimensions of the matrix  
    cout<<"Enter the dimensions of the matrix: ";  
    int matrix[N][M];  
    int transpose[M][N];  
    // Scan Matrix Elements  
    cout<<"Enter the elements of first matrix:";  
    for(int i = 0 ; i < N ; i++)  
    for(int j = 0 ; j < M ; j++)  
    // Transpose Matrix  
    for (int i = 0; i < N; ++i)   
    for (int j = 0; j < M; ++j)   
    transpose[j][i] = matrix[i][j];  
    //Print Transposed matrix  
    cout<<"The Transposed Matrix is:\n";  
    for(int i = 0 ; i < M ; i++)  
        for(int j = 0 ; j < N ; j++)  
            cout<<transpose[i][j]<<" ";  

Enter the dimensions of the matrix:
3 2
Enter the elements of matrix:
1 2
3 4
5 6
The Transposed Matrix is:
1 3 5 
2 4 6

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