Question: 2. Create a function LU_factorization that performs the LU factorization of a matrix A. You may use the previous functions you implemented. The function header

2. Create a function LU_factorization that performs the LU factorization of

2. Create a function LU_factorization that performs the LU factorization of a matrix A. You may use the previous functions you implemented. The function header should at least contain function [L, U] - LU_factorization (A) Create a function forward substitution that solve the system Ly b, when L is a lower trian gular mtrix. The function header should look somethinglike function y = forward-substitution (L, b) Let us recall that the output has to be a vector. Use those two functions and the function backward_substitution to solve (1). Do you find the same solution? Call, L,U, y, x the results. compare your solution to x0 obtained with the Matlab

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