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

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