C Program to Find Inverse of a Matrix

This is a c program to find the inverse of matrix. If M is the matrix and M^-1 is its inverse, M x M^-1 gives I (identity matrix). Inverse of a matrix M is:
adjoint(M) / det(M)
If determinant is zero, the matrix is not invertible. Adjoint of matrix M is transpose of cofactor matrix of M.

The c program to find inverse of matrix is as follows:

#include<stdio.h>
#include<math.h>
float detrminant(float[][], float);
void cofactors(float[][], float);
void trans(float[][], float[][], float);
main()
{
float a[25][25], n, d;
int i, j;
printf("Enter the order of the matrix:\n");
scanf("%f", &n);
printf("Enter the elemnts into the matrix:\n");
for (i = 0; i < n; i++)
 {
 for (j = 0; j < n; j++)
  scanf("%f", &a[i][j]);
 }
d = detrminant(a, n);
printf("\nTHE DETERMINANT IS=%2f", d);
if (d == 0)
 printf("\nMATRIX IS NOT INVERSIBLE\n");
else
 cofactors(a, n);
}

float detrminant(float a[25][25], float k)
{
float s = 1, det = 0, b[25][25];
int i, j, m, n, c;
if (k == 1)
 return (a[0][0]);
else
 {
 det = 0;
 for (c = 0; c < k; c++)
  {
  m = 0;
  n = 0;
  for (i = 0; i < k; i++)
   {
   for (j = 0; j < k; j++)
    {
    b[i][j] = 0;
    if (i != 0 && j != c)
     {
     b[m][n] = a[i][j];
     if (n < (k - 2))
      n++;
     else
      {
      n = 0;
      m++;
      }
     }
    }
   }
  det = det + s * (a[0][c] * detrminant(b, k - 1));
  s = -1 * s;
  }
 }
return (det);
}

void cofactors(float num[25][25], float f) {
float b[25][25], fac[25][25];
int p, q, m, n, i, j;
for (q = 0; q < f; q++)
 {
 for (p = 0; p < f; p++)
  {
  m = 0;
  n = 0;
  for (i = 0; i < f; i++)
   {
   for (j = 0; j < f; j++)
    {
    b[i][j] = 0;
    if (i != q && j != p)
     {
     b[m][n] = num[i][j];
     if (n < (f - 2))
      n++;
     else
      {
      n = 0;
      m++;
      }
     }
    }
   }
  fac[q][p] = pow(-1, q + p) * detrminant(b, f - 1);
  }
 }
trans(num, fac, f);
}

void trans(float num[25][25], float fac[25][25], float r)
{
int i, j;
float b[25][25], inv[25][25], d;
for (i = 0; i < r; i++)
 {
 for (j = 0; j < r; j++)
  b[i][j] = fac[j][i];
 }
d = detrminant(num, r);
inv[i][j] = 0;
for (i = 0; i < r; i++)
 {
 for (j = 0; j < r; j++)
  inv[i][j] = b[i][j] / d;
 }
printf("\nTHE INVERSE OF THE MATRIX:\n");
for (i = 0; i < r; i++)
 {
 for (j = 0; j < r; j++)
  printf("\ %2f", inv[i][j]);
 printf("\n");
 }
}