Élimination gaussienne python
import numpy as np
import sys
n = int(input('Enter number of unknowns: '))
a = np.zeros((n,n+1))
x = np.zeros(n)
print('Enter Augmented Matrix Coefficients:')
for i in range(n):
for j in range(n+1):
a[i][j] = float(input( 'a['+str(i)+']['+ str(j)+']='))
for i in range(n):
if a[i][i] == 0.0:
sys.exit('Divide by zero detected!')
for j in range(i+1, n):
ratio = a[j][i]/a[i][i]
for k in range(n+1):
a[j][k] = a[j][k] - ratio * a[i][k]
x[n-1] = a[n-1][n]/a[n-1][n-1]
for i in range(n-2,-1,-1):
x[i] = a[i][n]
for j in range(i+1,n):
x[i] = x[i] - a[i][j]*x[j]
x[i] = x[i]/a[i][i]
print('\nThe solution is: ')
for i in range(n):
print('X%d = %0.2f' %(i,x[i]), end = '\t')
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