51.C Program to Find Transpose of a Matrix

C Program to Find Transpose of a Matrix

This program takes a matrix of order r*c from the user and computes the transpose of that matrix.

To understand this example, you should have the knowledge of following C programming topics:

• C Programming Arrays
• C Programming Multidimensional Arrays

In this program, user is asked to entered the number of rows r and columns c. The value of r andc should be less than 10 in this program.

The user is asked to enter elements of the matrix (of order r*c).

Then, the program computes the transpose of the matrix and displays it on the screen.

Example: Program to Find Transpose of a Matrix

#include <stdio.h>

int main()
{
    int a[10][10], transpose[10][10], r, c, i, j;
    printf("Enter rows and columns of matrix: ");
    scanf("%d %d", &r, &c);

    // Storing elements of the matrix
    printf("\nEnter elements of matrix:\n");
    for(i=0; i<r; ++i)
        for(j=0; j<c; ++j)
        {
            printf("Enter element a%d%d: ",i+1, j+1);
            scanf("%d", &a[i][j]);
        }

    // Displaying the matrix a[][] */
    printf("\nEntered Matrix: \n");
    for(i=0; i<r; ++i)
        for(j=0; j<c; ++j)
        {
            printf("%d  ", a[i][j]);
            if (j == c-1)
                printf("\n\n");
        }

    // Finding the transpose of matrix a
    for(i=0; i<r; ++i)
        for(j=0; j<c; ++j)
        {
            transpose[j][i] = a[i][j];
        }

    // Displaying the transpose of matrix a
    printf("\nTranspose of Matrix:\n");
    for(i=0; i<c; ++i)
        for(j=0; j<r; ++j)
        {
            printf("%d  ",transpose[i][j]);
            if(j==r-1)
                printf("\n\n");
        }

    return 0;
}

Output

Enter rows and columns of matrix: 2
3

Enter element of matrix:
Enter element a11: 2
Enter element a12: 3
Enter element a13: 4
Enter element a21: 5
Enter element a22: 6
Enter element a23: 4

Entered Matrix: 
2  3  4  

5  6  4  


Transpose of Matrix:
2  5  

3  6  

4  4  

Check out these related examples:

• C Program to Add Two Matrix Using Multi-dimensional Arrays
• C Program to Multiply to Matrix Using Multi-dimensional Arrays
• C Program to Multiply two Matrices by Passing Matrix to a Function