To write a program to find the solution of a matrix using Gaussian Elimination.
- Hardware โ PCs
- Anaconda โ Python 3.7 Installation / Moodle-Code Runner
1.import numpy as np 2.import sys 3.get input from the user 4.end the program
/*
Program to find the solution of a matrix using Gaussian Elimination.
Developed by: kavya.k
RegisterNumber: 22008613
import numpy as np
import sys
#reading number of unknowns
n = int(input())
a = np.zeros((n,n+1))
x = np.zeros(n)
for i in range(n):
for j in range(n+1):
a[i][j]=float(input())
for i in range(n):
if a[i][j] == 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]
#Back Substitution
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]
for i in range(n):
print('X%d = %0.2f'%(i,x[i]), end= ' ')
*/
Thus the program to find the solution of a matrix using Gaussian Elimination is written and verified using python programming.