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 6Then, it’s transpose will be
A' = 1 4
2 5
3 6We 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];
//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]);
}
//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.
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