please use jupyter notebook to solve

thank you

9. Consider the n simultaneous equations Ax=b, where Aij=(i+j)2bi=j=0n1Aij,i=0,1,,n1,j=0,1,,n1 Clearly, the solution is x=[111]T. Write a program that solves these equations for any given n (pivoting is recommended). Run the program with n=2,3 and 4 , and comment on the results