# C Program To Find Transpose of a Matrix

In this post, we will learn how to find the transpose of a matrix using C Programming language.

The Transpose of a matrix is obtained by interchanging rows and columns of the given matrix.

Suppose, we have a matrix A such that:

``````A = 1  2  3
4  5  6``````

Then, it’s transpose will be

``````A' = 1  4
2  5
3  6``````

We will be calculating the transpose of the given matrix using for loop.

So, without further ado, let’s begin this tutorial.

## C Program To Find Transpose of a Matrix

```// C Program To Find Transpose of a Matrix
#include <stdio.h>
int main(){
int i, j, row, column;
int matrix[10][10], transpose[10][10];

printf("Enter rows and columns of the matrix: ");
scanf("%d %d", &row, &column);

printf("Enter elements of the matrix: \n");
for (i = 0; i < row; ++i)
for (j = 0; j < column; ++j){
scanf("%d", &matrix[i][j]);
}

//Computing the transpose
for (i = 0; i < row; ++i){
for (j = 0; j < column; ++j){
transpose[j][i] = matrix[i][j];
}
}

//Displaying the result
printf("Transpose of the entered matrix is: \n");
for (i = 0; i < column; ++i){
for ( j = 0; j < row; ++j){
printf("%d \t", transpose[i][j]);
}
printf("\n");
}
return 0;
}
```

Output

``````Enter rows and columns of the matrix: 2 3
Enter elements of the matrix:
1 2 3
4 5 6
Transpose of the entered matrix is:
1   4
2   5
3   6
``````

## How Does This Program Work ?

``` int i, j, row, column;
int matrix[10][10], transpose[10][10];
```

In this program, we have declared some int data type variables which will store the order and elements of the matrix.

```  //Asking for input
printf("Enter rows and columns of the matrix: ");
scanf("%d %d", &row, &column);

printf("Enter elements of the matrix: \n");
for (i = 0; i < row; ++i)
for (j = 0; j < column; ++j){
scanf("%d", &matrix[i][j]);
}
```

Then, the user is asked to enter the order and elements of the matrix.

```  //Computing the transpose
for (i = 0; i < row; ++i){
for (j = 0; j < column; ++j){
transpose[j][i] = matrix[i][j];
}
}
```

We obtained the transpose by interchanging the rows and columns of the original matrix.

```  //Displaying the result
printf("Transpose of the entered matrix is: \n");
for (i = 0; i < column; ++i){
for ( j = 0; j < row; ++j){
printf("%d \t", transpose[i][j]);
}
printf("\n");
}
```

Finally, the transpose matrix is displayed to the screen using printf() function.

## Conclusion

I hope after going through this post, you understand how to find the transpose of a matrix using the C Programming language.

If you have any doubt regarding the program, feel free to contact us in the comment section. We will be delighted to help you.