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32 changes: 28 additions & 4 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -14,16 +14,40 @@ To write a program to find the solution of a matrix using Gaussian Elimination.
4.

## Program:
```

/*
Program to find the solution of a matrix using Gaussian Elimination.
Developed by:
RegisterNumber:
Developed by: PREM KUMAR
RegisterNumber: 23013598
*/
```
import numpy as np
import sys
n=int(input())
matrix=np.zeros((n,n+1))
x=np.zeros(n)
for i in range (n):
for j in range(n+1):
matrix[i][j]=int(input())
for i in range (n):
if matrix[i][j]==0.0:
sys.exit("divide by zero error")
for j in range(i+1,n):
ratio=matrix[j][i]/matrix[i][i]
for k in range (n+1):
matrix[j][k]=matrix[j][k]-ratio*matrix[i][k]
x[n-1]=matrix[n-1][n]/matrix[n-1][n-1]
for i in range (n-2,-1,-1):
x[i]=matrix[i][n]
for j in range (i+1,n):
x[i]=x[i]-matrix[i][j]*x[j]
x[i]=x[i]/matrix[i][i]
for i in range (n):
print("X%d = %0.2f"%(i,x[i]),end=' ')

```
## Output:
![gaussian elimination]()
![output](/home/sec/Gaussian/Screenshot from 2023-12-26 13-57-34.png)


## Result:
Expand Down