38 - WAP to find the Determinant of a Matrix in C

This program finds the Determinant of a Matrix in C.

Program Code:

//to find determinant, inverse and transpose
#include <stdio.h>
#include <stdlib.h>

//function to find determinant
int determinant(int matrix[10][10], int size)
{
 int Det = 0, temp[10][10], idx, jdx, kdx, c1, c2, flag = 1;
 //for 1x1 matrix
 if (size == 1)
 {
  return matrix[0][0];
 }
 //for 2x2 matrix
 if (size == 2)
 {
  Det = matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0];
 }
 //for nxn matrix
 else
 {
  for (idx = 0; idx < size; idx++)
  {
   c1 = 0, c2 = 0;
   for (jdx = 0; jdx < size; jdx++)
   {
    for(kdx = 0; kdx < size; kdx++)
    {
     if ( jdx != 0 && kdx != idx)
     {
      temp[c1][c2] = matrix[jdx][kdx];
      c2++;
      if(c2 > size - 2)
      {
       c1++;
       c2 = 0;
      }
     }
    }
   }
   Det = Det + flag * (matrix[0][idx] * determinant(temp, size - 1));
   flag = -1 * flag;

  }
 }
 return Det;
}


int main()
{
 //declaring variables
 int matrix[10][10], row, col, idx, jdx, Det;
 char ch;
 do
 {
  //reading an action from the user and the order of the matrix
  printf(" =================================");  
  printf(" \n    Determinant of Matrix  \n");
  printf(" =================================\n");
  printf(" Enter the Size for Matrix\n Row's = ");
  scanf("%d", &row);
  printf(" Col's = ");
  scanf("%d", &col);

  //reading the matrix
  for (idx = 0; idx < row; idx++)
  {
   printf(" Enter %d numbers for Row %d : ", col, idx + 1);
   for (jdx = 0; jdx < col; jdx++)
   {
    scanf("%d", &matrix[idx][jdx]);
   }
  }
  if (row != col)
  {
   printf(" Determinant can't be calculated for the given order!\n");
   break;
  }
  //printing determinant value returned from the function
  else
  printf(" Determinant is \"%d\"\n", determinant(matrix, row));
 
  printf("\n To Continue press [Y/n] : ");
  getchar();
 } while ((ch = getchar()) && (ch == 'y' || ch == 'Y'));
 
 return 0; 
}

Program Output: