Please finish the following code, I have it started:

Exercise numpy 1.4.3. Let A = 0 - 1 1 1 -2 4 -2 1 2 2 7 -3 and b = ( 1 0 -1 1. Using numpy, perform the row reduction algorithm on the matrix A, one step at a time. Please reduce all the way to reduced row echelon form. 2. Then using sympy, use the built-in rref() function to check your answer. 3. Then, from the reduced row echelon form, give the solution set of the matrix equation Ax = b in its general form, and check that the x you found are indeed solutions. 1 import numpy 2 3 A = numpy. array ( [ 4 1. ], 5 [ 0., -1., -2., [ 2., 2. ], [-2., 7., -3. ] 1) 1.1 1., 4., 6 7 8 b numpy.array ( [ 9 [ [ [ 1.), 0.), 10 11 -1.]]). 12 13 # concatenate A and b to form the augmented matrix Z 14 15 Z = numpy.concatenate ((A, b), axis=1) 16 17 print (" ", Z)