C Code To Find Transpose Of A Matrix | Coding Bot

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Saturday, 11 May 2013

C Code To Find Transpose Of A Matrix


Hello Guys,
Today I'm gonna show you the C Code, to find transpose of a M x N Matrix.
The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. We know that in linear algebra, the transpose of a matrix A is another matrix AT (a created by any one of the following actions:

  • Reflect A over its main diagonal (which runs from top-left to bottom-right) to obtain AT
  • Write the rows of A as the columns of AT
  • Write the columns of A as the rows of AT

Formally, the i th row, j th column element of AT is the j th row, i th column element of A:
AT(i,j) = A(j,i)
If A is an m × n matrix then AT is an n × m matrix.

The same is reflected through this image:
Transpose Of A Matrix C Code
Transpose Of A Matrix

In simple terms,
if we have a matrix:
1 2
3 7
4 6

Its Transpose will be:
1 3 4
2 7 6


Here is the C Code to find transpose of a matrix:

/* Double-Click To Select Code */

#include<stdio.h>
#include<conio.h>
 
void main()
{
 int m, n, c, d, matrix[10][10], transpose[10][10];
 clrscr(); 
 printf("Enter the number of rows and columns of the matrix a: \n");
 scanf("%d%d",&m,&n);
 printf("\nEnter the elements of matrix: \n");
 
 for( c = 0 ; c < m ; c++ )
 {
  for( d = 0 ; d < n ; d++ )
  {
   printf("a[%d][%d] = ",m,n);
   scanf("%d",&matrix[c][d]);
  }
 }

 printf("\nOriginal Matrix: \n");
 for( c = 0 ; c < m ; c++ )
 {
  for( d = 0 ; d < n ; d++ )
  {
   printf("%4d",matrix[c][d]);
  }
  printf("\n");
 }


 for( c = 0 ; c < m ; c++ )
 {
  for( d = 0 ; d < n ; d++ )
  {
   transpose[d][c] = matrix[c][d];
  }
 }

 printf("\nTranspose of entered matrix: \n");
 
 for( c = 0 ; c < n ; c++ )
 {
  for( d = 0 ; d < m ; d++ )
  {
   printf("%4d",transpose[c][d]);
  }  
  printf("\n");
 }
 getch();
}


Output:



C Code To Find Transpose Of A Matrix



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This article uses material from the Wikipedia article Transpose which is released under the Creative Commons Attribution-Share-Alike License 3.0

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