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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. Define the package as scipy.linalg import lu.
2. Get input from user and print L and U matrix by 'print' .
3. Define a package as "from scipy.linalg import lu_factor, lu_solve" and create the variable as
  'X' include the package in that variable.
4. print the variable 'X'

Program:

(i) To find the L and U matrix

# Program to find L and U matrix using LU decomposition.
# Developed by: Ganesh G.
# RegisterNumber: 212223230059

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: Ganesh G.
# RegisterNumber: 212223230059

import numpy as np
from scipy.linalg import lu
A = np.array(eval(input()))
B = np.array(eval(input()))
c = np.linalg.solve(A,B)
print(c)

Output:

(i) To find the L and U matrix image

(ii) To find the LU Decomposition of a matrix image

Result:

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

lu-decomposition's People

Contributors

akilamohan avatar ganesh10082006 avatar

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