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
- Start the program.
- Import numpy and Import sys
- Get input from the user.
- Solve the matrix in Guassian Elimination method.
- Display the values.
- Stop the program.
/*
Program to find the solution of a matrix using Gaussian Elimination.
Developed by: M G GAUTHAM
RegisterNumber: 21000182
*/
import numpy as np
import sys
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][i]==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]
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.