#include <stdio.h>
#include <math.h>
#define N 4
int main(void)
{
double A[N][N]={{2,1,4,1},{3,4,-1,-1},{1,-4,1,5},{2,-2,1,3}}, b[N]={-4,3,9,7}, x[N]={0};
int i,j,k;
printf("Antes do escalonamento: \n");
for (i=0;i<N;i++)
{
for (j=0;j<N;j++)
{
printf("%8.3lf",A[i][j]);
if (j==(N-1))
printf("\n");
else
printf(" ");
}
}
for (i=0;i<N;i++)
{
for (j=i+1;j<N;j++)
{
double c=A[j][i]/A[i][i];
for (k=i;k<N;k++)
{
A[j][k]=A[j][k] - c*A[i][k];
}
b[j]=b[j]-c*b[i];
}
}
printf("Após o escalonamento: \n");
for (i=0;i<N;i++)
{
for (j=0;j<N;j++)
{
printf("%8.3lf",A[i][j]);
if (j==(N-1))
printf("\n");
else
printf(" ");
}
}
for (i=N-1;i>=0;i--)
{
double soma = b[i];
for (j=i+1;j<N;j++)
{
soma=soma-A[i][j]*x[j];
}
x[i]=soma/A[i][i];
}
printf("Solução: \n");
for (i=0;i<N;i++)
{
printf("%8.3lf",x[i]);
if (i==(N-1))
printf("\n");
else
printf(" ");
}
return 0;
}
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