Doolittle-Algorithm-LU-decomposition

Doolittle Algorithm LU decomposition for solving linear equations

Solve the following system of simultaneous linear equations using LU decomposition method.

𝟓𝒙𝟏 + 𝟔𝒙𝟐 + 𝟐.𝟑𝒙𝟑 + 𝟔𝒙𝟒 = 𝟒
𝟗𝒙𝟏 + 𝟐𝒙𝟐 + 𝟑.𝟓𝒙𝟑 + 𝟕𝒙𝟒 = 𝟓
𝟑.𝟓𝒙𝟏 + 𝟔𝒙𝟐 + 𝟐𝒙𝟑 + 𝟑𝒙𝟒 = 𝟔.𝟕 𝟏.𝟓𝒙𝟏 + 𝟐𝒙𝟐 + 𝟏.𝟓𝒙𝟑 + 𝟔𝒙𝟒 = 𝟕.𝟖

This program has been written in python

outputs :

Matrix L: [[ 1. 0. 0. 0. ] [ 1.8 1. 0. 0. ] [ 0.7 -0.20454545 1. 0. ] [ 0.3 -0.02272727 3.07017544 1. ]]

Matrix U: [[ 5. 6. 2.3 6. ] [ 0. -8.8 -0.64 -3.8 ] [ 0. 0. 0.25909091 -1.97727273] [ 0. 0. 0. 10.18421053]]

Matrix Y: [ 4. -2.2 3.45 -4.04210526]

Matrix X: [-3.06356589 -0.32674419 10.28682171 -0.39689922]

Process finished with exit code 0

Thanx to https://github.com/msaw97/metody4-gauss-elimination for sharing his code ,to help me understand