#include<stdio.h>
#include<stdlib.h>
main()
{
int
a[10][10],n,i,j,k;
printf("\n\tEnter
the no.of variables: ");
scanf("%d",
&n);
for(i=0;i<n;i++)
{
printf("\n\tEQUATION
%d\n\t", i+1);
for(j=0;j<n;j++)
{
printf("\n\tEnter
the coefficients of x%d : ", j+1);
scanf("%d",
&a[i][j]);
}
printf("\nEnter
the constant: ");
scanf("%d",
&a[i][n]);
}
for(k=0;k<n;k++)
{
for(i=0;i<n;i++)
{
l=a[i][k];
for(j=0;j<=n;j++)
{
if(i!=k)
a[i][j]=a[k][k]*a[i][j]-(l*a[k][j]);
}
}
}
printf("\n\tSolutions
are: \n");
for(i=0;i<n;i++)
{
if(a[i][i]==0)
{
printf("\n\tNOn
trivial solution");
exit(0);
}
printf("\n\tThe
value of %d
is
%.3f",i+1,(float)(a[i][n]/(float)a[i][i]));
}
}
/*
-----------------OUTPUT------------------------
Enter
the no.of variables: 3
EQUATION
1
Enter
the coefficients of x1 : 3
Enter
the coefficients of x2 : 2
Enter
the coefficients of x3 : 1
Enter
the constant: 6
EQUATION
2
Enter
the coefficients of x1 : 1
Enter
the coefficients of x2 : 2
Enter
the coefficients of x3 : 3
Enter
the constant: 6
EQUATION
3
Enter
the coefficients of x1 : 2
Enter
the coefficients of x2 : 3
Enter
the coefficients of x3 : 1
Enter
the constant: 6
Solutions
are:
The
value of 1 is 1.000
The
value of 2 is 1.000
The
value of 3 is 1.000
-----------------------------------------------
*/
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