Algorithm


Here's the algorithm for finding the transpose of a matrix without the C code:

1. Input:
     - Take input for the number of rows and columns of the matrix.

2. Matrix Input:
     - Input the elements of the matrix.

3. Transpose Calculation:
     - Create a new matrix (transposed matrix) with dimensions swapped (rows become columns and vice versa).
     - Use nested loops to iterate over each element of the original matrix.
     - Place the element in the transposed matrix at the corresponding swapped position (i, j becomes j, i).

 **The logic used to change m(i,j) matrix to m(j,i) is as follows −

for (i = 0;i < m;i++)
   for (j = 0; j < n; j++)
      transpose[j][i] = matrix[i][j];

4. Output:
     - Display the transposed matrix.

Code Examples

#1 Code Example-We shall print the transpose of a matrix using for loop.

Code - C Programming

#include <stdio.h>
int main(){
   int m, n, i, j, matrix[10][10], transpose[10][10];
   printf("Enter rows and columns :
");
   scanf("%d%d", &m, &n);
   printf("Enter elements of the matrix
");
   for (i= 0; i < m; i++)
      for (j = 0; j < n; j++)
         scanf("%d", &matrix[i][j]);
   for (i = 0;i < m;i++)
      for (j = 0; j < n; j++)
         transpose[j][i] = matrix[i][j];
   printf("Transpose of the matrix:
");
   for (i = 0; i< n; i++) {
      for (j = 0; j < m; j++)
         printf("%d\t", transpose[i][j]);
      printf("
");
   }
   return 0;
}
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Output

x
–
+
cmd
Enter rows and columns :
2 3
Enter elements of the matrix
1 2 3
2 4 5
Transpose of the matrix:
1 2
2 4
3 5

#2 Code Example-C Programing to Find Transpose of a Matrix

Code - C Programming

#include<stdio.h>
#define ROW 2
#define COL 5
int main(){
   int i, j, mat[ROW][COL], trans[COL][ROW];
   printf("Enter matrix: 
");
   // input matrix
   for(i = 0; i < ROW; i++){
      for(j = 0; j < COL; j++){
         scanf("%d", &mat[i][j]);
      }
   }
   // create transpose
   for(i = 0; i < ROW; i++){
      for(j = 0; j < COL; j++){
         trans[j][i] = mat[i][j];
      }
   }
   printf("
Transpose matrix: 
");
   // print transpose
   for(i = 0; i < COL; i++){
      for(j = 0; j < ROW; j++){
         printf("%d ", trans[i][j]);
      }
      printf("
");
   }
   return 0;
}
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Output

x
–
+
cmd
Enter matrix:
1 2 3 4 5
5 4 3 2 1
Transpose matrix:
1 5
2 4
3 3
4 2
5 1
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Demonstration

C Programing Example to Find Transpose of a Matrix-DevsEnv

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