Question: 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

 Write a function defined as: def Cramer (Aaug): Purpose: use Cramer's

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: 3 1 -1 1 2 1 4 1 x2 = 12 2 1 2 x X2 10 1 -10 2 4 X1 2 3 1 4 12 X2 12 = II 9 9 2 3 4 X3 21 -1 2 7 3 3 X4 37

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