using python with only using import math and copy no other powerful functions.

Write a function defined as: def GaussSeidel(Aaug, x, Niter = 15):

Purpose: use the Gauss-Seidel method to estimate the solution to a set of N linear equations expressed in matrix form as Ax = b. Both A and b are contained in the function argument Aaug.

Aaug: an augmented matrix containing [A | b ] having N rows and N+1 columns, where N is the number of equations in the set.

x: a vector (array) contain the values of the initial guess Niter: the number of iterations (new x vectors) to compute

return value: the final new x vector.

Write and call a main() function that uses your GaussSeidel function to estimate and print the solution to the sets of linear equations contained in the following Augmented A-matrices:

MyA = [[4, -1, -1, 3], [-2, -3, 1, 9], [-1, 1, 7, -6]] using initial guesses of all zeros. Perform 22 iterations.

anotherA = [[4, 3, 1, -1, 2], [2, -5, 0, -2, -3], [-3, 3, -6, 1, 5], [0, 1, 4, 8, -2]] using initial guesses of all zeros. Perform 3 iterations.