C Program to find transpose of a matrix

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

matrix-transpose

For Square Matrix :



The below program finds transpose of A[][] and stores the result in B[][], we can change N for different dimension.

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#include <stdio.h>
#define N 4
  
// This function stores transpose of A[][] in B[][]
void transpose(int A[][N], int B[][N])
{
    int i, j;
    for (i = 0; i < N; i++)
        for (j = 0; j < N; j++)
            B[i][j] = A[j][i];
}
  
int main()
{
    int A[N][N] = { {1, 1, 1, 1},
                    {2, 2, 2, 2},
                    {3, 3, 3, 3},
                    {4, 4, 4, 4}};
  
    int B[N][N], i, j;
  
    transpose(A, B);
  
    printf("Result matrix is \n");
    for (i = 0; i < N; i++)
    {
        for (j = 0; j < N; j++)
           printf("%d ", B[i][j]);
        printf("\n");
    }
  
    return 0;
}

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Output:

Result matrix is 
1 2 3 4 
1 2 3 4 
1 2 3 4 
1 2 3 4

For Rectangular Matrix :

The below program finds transpose of A[][] and stores the result in B[][].

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#include <stdio.h>
#define M 3
#define N 4
  
// This function stores transpose of A[][] in B[][]
void transpose(int A[][N], int B[][M])
{
    int i, j;
    for (i = 0; i < N; i++)
        for (j = 0; j < M; j++)
            B[i][j] = A[j][i];
}
  
int main()
{
    int A[M][N] = { {1, 1, 1, 1},
                    {2, 2, 2, 2},
                    {3, 3, 3, 3}};
  
    // Note dimensions of B[][]
    int B[N][M], i, j;
  
    transpose(A, B);
  
    printf("Result matrix is \n");
    for (i = 0; i < N; i++)
    {
        for (j = 0; j < M; j++)
        printf("%d ", B[i][j]);
        printf("\n");
    }
  
    return 0;
}

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Output:

Result matrix is 
1 2 3 
1 2 3 
1 2 3 
1 2 3

In-Place for Square Matrix:

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#include <bits/stdc++.h>
using namespace std;
  
#define N 4
  
// Converts A[][] to its transpose
void transpose(int A[][N])
{
    for (int i = 0; i < N; i++)
        for (int j = i+1; j < N; j++)
            swap(A[i][j], A[j][i]);
}
  
int main()
{
    int A[N][N] = { {1, 1, 1, 1},
                    {2, 2, 2, 2},
                    {3, 3, 3, 3},
                    {4, 4, 4, 4}};
  
    transpose(A);
  
    printf("Modified matrix is \n");
    for (int i = 0; i < N; i++)
    {
        for (int j = 0; j < N; j++)
           printf("%d ", A[i][j]);
        printf("\n");
    }
  
    return 0;
}

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Output:

Modified matrix is 
1 2 3 4 
1 2 3 4 
1 2 3 4 
1 2 3 4

Please refer complete article on Program to find transpose of a matrix for more details!




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