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
- Get the input
- Loop through each row and column
- Use nested loops to perform gaussian elimination
- Print the result
/*
Program to find the solution of a matrix using Gaussian Elimination.
Developed by: RIYA P L
RegisterNumber: 23005672
*/
import numpy as np
n=int(input())
arr=np.zeros((n,n+1))
res=np.zeros(n)
for i in range(n):
for j in range(n+1):
arr[i][j]=int(input())
for i in range(n):
for j in range(i+1,n):
ratio=arr[j][i]/arr[i][i]
for k in range(n+1):
arr[j][k]=arr[j][k]-ratio*arr[i][k]
res[n-1]=arr[n-1][n]/arr[n-1][n-1]
for i in range(n-1,-1,-1):
res[i]=arr[i][n]
for j in range(i+1,n):
res[i]=res[i]-arr[i][j]*res[j]
res[i]=res[i]/arr[i][i]
for i in range(n):
print("X%d = %0.2f" %(i,res[i]),end=" ")
Thus the program to find the solution of a matrix using Gaussian Elimination is written and verified using python programming.