To write a program to find the LU Decomposition of a matrix.
- Hardware โ PCs
- Anaconda โ Python 3.7 Installation / Moodle-Code Runner
- Define the package as scipy.linalg import lu.
- Get input from user and print L and U matrix by 'print' .
- Define a package as "from scipy.linalg import lu_factor, lu_solve" and create the variable as 'X' include the package in that variable.
- print the variable 'X'
(i) To find the L and U matrix
'''Program to find L and U matrix using LU decomposition.
Developed by: SREEVALSAN V
RegisterNumber: 23012962
'''
import numpy as np
from scipy.linalg import lu
A=np.array(eval(input()))
P,L,U=lu(A)
print(L)
print(U)
(ii) To find the LU Decomposition of a matrix
'''Program to solve a matrix using LU decomposition.
Developed by: SREEVALSAN V
RegisterNumber: 23012962
'''
import numpy as np
from scipy.linalg import lu_factor,lu_solve
arr=eval(input())
constant=eval(input())
A=np.array(arr)
B=np.array(constant)
result=lu_factor(A)
solution=lu_solve(result,B)
print(solution)
Thus the program to find the LU Decomposition of a matrix is written and verified using python programming.