Answer Posted / vasanthi

#include<conio.h>
#include<stdio.h>

int a[20][20],m;
int determinant(int f[20][20],int a);
int main()
{
int i,j;
printf("----------------------------------------------------------------------\n");
printf("-------------------made by C code champ ------------------------------\n");
printf("----------------------------------------------------------------------\n");
printf("\n\nEnter order of matrix : ");
scanf("%d",&m);
printf("\nEnter the elements of matrix\n");
for(i=1;i<=m;i++)
{
for(j=1;j<=m;j++)
{
printf("a[%d][%d] = ",i,j);
scanf("%d",&a[i][j]);
}
}
printf("\n\n---------- Matrix A is --------------\n");
for(i=1;i<=m;i++)
{
printf("\n");
for(j=1;j<=m;j++)
{
printf("\t%d \t",a[i][j]);
}
}
printf("\n \n");
printf("\n Determinant of Matrix A is %d .",determinant(a,m));
getch();
}

int determinant(int f[20][20],int x)
{
int pr,c[20],d=0,b[20][20],j,p,q,t;
if(x==2)
{
d=0;
d=(f[1][1]*f[2][2])-(f[1][2]*f[2][1]);
return(d);
}
else
{
for(j=1;j<=x;j++)
{
int r=1,s=1;
for(p=1;p<=x;p++)
{
for(q=1;q<=x;q++)
{
if(p!=1&&q!=j)
{
b[r][s]=f[p][q];
s++;
if(s>x-1)
{
r++;
s=1;
}
}
}
}
for(t=1,pr=1;t<=(1+j);t++)
pr=(-1)*pr;
c[j]=pr*determinant(b,x-1);
}
for(j=1,d=0;j<=x;j++)
{
d=d+(f[1][j]*c[j]);
}
return(d);
}
}

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