Please use SageMath or Python to solve this question, thanks!

Problem 5: Hilbert matrices Grading criteria: mathematical correctness. a. Read about Hilbert matrices. Then explain what is "wrong" with the answer produced by this computation, and why it happens. In [ ]: # The computation from scipy.linalg import hilbert, invhilbert A = hilbert (7) B = invhilbert (7) print (A*B - identity_matrix(7)). In [ ]: b. Rewrite the computation using the RealField command in Sage so that it gives a "correct" answer. In [ ]