Transpose of Matrix in C++

August 25, 2021

Program to find the transpose of matrix 

Here, in this section we will find the transpose of the matrix in C++ .

Transpose of a matrix is obtained by interchanging rows and columns. In other words, transpose of A[][] is obtained by changing A[i][j] to A[j][i].

Example :

A transpose of a matrix is the matrix flipped over its diagonal i.e. the row and column indices of the matrix are switched. An example of this is given as follows −

Matrix = 
1 2 3
4 5 6
7 8 9

Transpose of Matrix  = 
1 4 7
2 5 8
3 6 9

 

Transpose of the matrix in C++

Algorithm :

Transpose of the matrix in C++ can be achieved by doing so ,

  • Take the number of rows and column for the matrix from the user
  • Take the input of matrix from the user.
  • For transpose, we can print the matrix by interchanging row and column

Code in C++

#include<bits/stdc++.h>
using namespace std;

int main()
{
  int r, c;
 
  cout<<“Enter rows and columns of matrix: “;
  cout<<r<<c;

  int a[r][c];

  cout<<“\nEnter elements of matrix:”;
  
  for(int i=0; i<r; i++){
      
      for(int j=0; j<c; j++)
        cin>>a[i][j];
  }
  
  // Displaying the matrix a[][] */
  cout<<“\nEntered Matrix: \n”;
 
  for(int i=0; i<r; i++){
      
      for(int j=0; j<c; j++)
        cout<<a[i][j]<<" ";
      
      cout<<endl;
  }

  // Displaying the transpose of matrix a
  
  cout<<“\nTranspose of Matrix:\n”;

  for(int i=0; i<c; i++){
      
      for(int j=0; j<r; j++)
        cout<<a[i][j]<<" ";
      
      cout<<endl;
  }

return 0;
}
Output :

Enter rows and columns of matrix : 3 3

Enter elements of matrix :

1 2 3

4 5 6

7 8 9

Displaying the matrix :

1 2 3

4 5 6

7 8 9

Transpose of Matrix :

1 4 7 

2 5 8

3 6 9