📄 kh_gauss.c
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/*Phuong phap khu Gauss giai he doi xung chi su dung phan tam giac tren*/
#include <stdio.h>
#include <conio.h>
#include <math.h>
enum BOOLEAN { false = 0 , true };
void main()
{
int i , j , k , n ;
float c ;
enum BOOLEAN t ;
char sua ;
float b[50] ;
float a[50][50];
clrscr();
printf("PHUONG PHAP KHU GAUSS GIAI HE DOI XUNG\n");
printf("SO PHUONG TRINH n = ");
scanf("%d",&n);
printf("DOC SO LIEU MA TRAN A \n");
for ( i = 0 ; i < n ; i++ )
{
printf("HANG THU %d" , i);
for ( j = 0 ; j < n ; j++ ) scanf("%f" , &a[i][j]);
}
t = true ;
while ( t )
{
printf("CO SUA MA TRAN KHONG ? (c/k) : ");
fflush(stdin);
scanf("%c" , &sua );
if ( toupper(sua) == 'C' )
{
printf("CHI SO HANG i = ");
fflush(stdin);
scanf("%d" , &i);
printf("CHI SO COT j = ");
fflush(stdin);
scanf("%d" , &j);
printf("a[%d,%d] =",i,j);
fflush(stdin);
scanf("%f" , &a[i][j]);
}
if ( toupper(sua) == 'K' ) t= false ;
}
printf("\tIN MA TRAN A\n");
for (i = 0 ; i < n ; i++)
{
for (j = 0 ; j < n ; j++) printf("%10.3f" , a[i][j]);
printf("\n");
}
printf("DOC VE PHAI B\n");
for (i = 0 ; i < n ; i++) scanf("%f" , b[i]);
t = true ;
while (t)
{
printf("CO SUA VE PHAI B KHONG ?(c/k) : ");
fflush(stdin);
scanf("%c" , &sua);
if (toupper(sua) == 'K') t = false ;
if (toupper(sua) == 'C')
{
printf("Chi so hang i = ");
scanf("%d" , &i);
printf("b[%d] = ",i);
scanf("%f" , &b[i]);
}
}
t = true ;
i = 0 ;
while (t)
{
if (a[i][i] == 0)
{
t = false ;
printf("A[%d,%d] = 0 " , i , i );
}
if (a[i][i] != 0)
{
for (k = i + 1 ; k < n ; k++)
{
c = a[i][k] / a[i][i] ;
for (j = k ; j < n ; j++)
a[k][j] -= a[i][j] * c ;
b[k] -= b[i] * c;
a[i][k] /= a[i][i] ;
}
b[i] /= a[i][i] ;
printf("MA TRAN (A,B)\n");
printf("SAU LAN KHU HANG %d\n" , i);
for ( k = 0 ; k < n ; k++)
{
for ( j = 0 ; j < n ; j++) printf("%8.4f" , a[k][j]);
printf("%8.4f" , b[k]);
printf("\n");
}
i++;
}
if ( i == n - 1 ) t = false ;
}
if (i == n - 1)
{
b[n-1] /= a[n - 1][n - 1] ;
for ( i = n - 2 ; i >= 0 ; i-- )
for ( j = i + 1 ; j < n ; j++ )
b[i] -= a[i][j] * b[j] ;
printf("\tNGHIEM CUA HE\n\n");
for ( i = 0 ; i < n ; i++ )
printf("x[%d] = %8.4f\n" , i , b[i] );
}
getch();
}
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