Program: Write a program that specialized 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 = the summation of Aij for j = 1 to n.
The program should have no input apart from n. By running the program, determine the largest n for which the solution is within six significant figures of the exact solution.
x = [1 1 1 ...]^T
How to prepare a program to solve the equations - Can you write this program in python language?