Please solve with Python code for PyCharm. Please only do THIS problem and show each step of the code thoroughly. This is using Cramer's method. I'm looking for how to do this, not another method/problem. I will give you a thumbs up if you do what I'm asking. Thank you!

Using python Write a function defined as: def Cramer (Aaug): Purpose: use Cramer's method to find 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. return x: the solution vector. Write and call a main() function that uses your Cramer function to solve and print the solutions to the following sets of linear equations: -11 2 (3 1 1 4 1 X2 = 12 2 1 2 X3 10 1 -10 2 4 X1 2 3 1 4 12 X2 12 9 9 2 3 4 X3 21 -1 2 2 7 3 3 37