Help solve this in python

57 2.3 LU Decomposition Methods 15. A well-known example of an ill-conditioned matrix is the Hilbert matrix: 1 1/2 1/3 1/2 1/3 1/4 A = 1/3 1/4 1/5 Write a program that specializes in solving the equations Ax = b by Doolittle's decomposition method, where A is the Hilbert matrix of arbitrary size n x n, and bi = Au =1 The program should have no input apart from n. By running the program, deter- mine the largest n for which the solution is within six significant figures of the exact solution X 1 1 1