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LU Decomposition

AIM:

To write a program to find the LU Decomposition of a matrix.

Equipments Required:

  1. Hardware โ€“ PCs
  2. Anaconda โ€“ Python 3.7 Installation / Moodle-Code Runner

Algorithm

  1. import numpy library using import statement
  2. from scipy package import lu()
  3. get input from user and pass it as an array
  4. print l and u matrix

Program:

(i) To find the L and U matrix

import numpy as np   #form numpy import array
from scipy.linalg import lu
arr=eval(input())
A=np.array(arr)
P,L,U=lu(A)
print(L)
print(U)
/*
Program to find the L and U matrix.
Developed by: joel p
RegisterNumber: 22008934
*/

(ii) To find the LU Decomposition of a matrix

/*
Program to find the LU Decomposition of a matrix.
Developed by: joel p
RegisterNumber: 22008934
*/
import numpy as np
from scipy.linalg import lu_factor,lu_solve
A=np.array(eval(input()))
B=eval(input())
res=lu_factor(A)
solution=lu_solve(res,B)
print(solution)

Output:

output output

Result:

Thus the program to find the LU Decomposition of a matrix is written and verified using python programming.

lu-decomposition's People

Contributors

collinsjoel10 avatar akilamohan avatar

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