C Programming - Learn to Transpose a Matrix

Welcome back people,
I am here with a new lesson for everyone. We are currently performing matrix functions/operations using C programing language.

Today we will learn how to perform transpose of a matrix.

Here is the program itself.

code continued.

You can copy the code from below :

#include <stdio.h>

#define ROW 3
#define COL 4

int main()
{
int originalMatrix[ROW][COL], transposedMatrix[COL][ROW];
int i, j;

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

printf("The original matrix is:\n");
for (i = 0; i < ROW; i++)
{
for (j = 0; j < COL; j++)
{
printf("%d ", originalMatrix[i][j]);
}
printf("\n");
}

//transpose the matrix
for (i = 0; i < ROW; i++)
{
for (j = 0; j < COL; j++)
{
transposedMatrix[j][i] = originalMatrix[i][j];
}
}

printf("\nThe transposed matrix is:\n");
for (i = 0; i < COL; i++)
{
for (j = 0; j < ROW; j++)
{
printf("%d ", transposedMatrix[i][j]);
}
printf("\n");
}

return 0;
}

This program uses a 3x4 matrix as an example, but the dimensions can be changed by modifying the ROW and COL macro definitions. The original matrix is read in from the user, and then its transpose is calculated and stored in the transposedMatrix variable. The transposed matrix is then printed out for the user to see.

Now let us look at the output and see if we are able to transpose the matrix successfully or not.

So we can see that the matrix was transpose successfully. In case you do not know about Matrix transpose here is a word about it.

The transpose of a matrix is a new matrix in which the rows and columns of the original matrix are switched. If the original matrix is an m x n matrix, the transpose will be an n x m matrix. The element in the ith row and jth column of the original matrix will become the element in the jth row and ith column of the transpose. It is denoted as A^T.

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