Metodo De Gauss.docx
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//METODO DE GAUSS #include #include<stdio.h> #include #include<stdlib.h> int i, j, k, n; double m[20][20], aux; using namespace std; int main() { cout << " <<<<Metodo de Gauss >>>> "; cout << "\n Matriz cuadrada de orden N= "; cin >> n; cout << "\n Digite los elementos de la matriz en la posicion "; for (i = 1;i <= n;i++) // for(inicialización; condición; iteración) "PARA i FILAS" { for (j = 1;j <= n;j++) // Ciclo for "PARA j COLUMNAS" { cout << "\n M=[" << i << "," << j << "]= "; cin >> m[i][j]; //PARA ESTE CICLO VA INCREMENTO PARA j (COLUMNAS) } cout << "\n Termino independiente de X" << i << " "; cin >> m[i][n + 1]; // incremento de la fila hasta ser <= n } for (i = 1;i <= n;i++) { if (m[i][i] != 0) { aux = 1 / m[i][i]; for (j = 1;j <= n + 1;j++) { m[i][j] = aux*m[i][j]; } for (j = 1;j <= n;j++) { if (j != i) { aux = -m[j][i]; for (k = 1;k <= n + 1;k++) { m[j][k] = m[j][k] + aux*m[i][k]; } } } } } cout << "\n" << aux << endl; cout << "la matriz identidad es";
cout << "\n\n"; for (i = 1;i <= n;i++) { for (j = 1;j <= n;j++) { cout << m[i][j] << "\t"; } cout << "\n\n"; } cout << "El valor de las incognitas es : "; for (i = 1;i <= n;i++) { cout << "\nX" << i << " = " << m[i][n + 1] << "\n"; } system ("pause"); return 0; }
cout << "\n\n"; for (i = 1;i <= n;i++) { for (j = 1;j <= n;j++) { cout << m[i][j] << "\t"; } cout << "\n\n"; } cout << "El valor de las incognitas es : "; for (i = 1;i <= n;i++) { cout << "\nX" << i << " = " << m[i][n + 1] << "\n"; } system ("pause"); return 0; }
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