USE PYTHON TO SOLVE THE FOLLOWING:

For each of the following systems, apply the Conjugate Gradient method in double precision to iteratively solve Ax - b for x. Use an initial estimate of xo - 0, a maximum of nmax - 20 iterations, and a stopping condition of +1-Xnlloo 10-4. State whether the solution has converged. Print a table showing the approximated solution for each iteration, reporting each value to four digits after the decimal. 4-2 0 -1 0 0 2 4 -2 0 0 -2 400 -1 0 18 -1 0 0 4-20 18 92 0 2 4-2 840 (b)A73 13, b-966 36 2 7 11 11 13 5 8 4 2 48 (c)A-4 2 4, b 48 84 For each of the following systems, apply the Conjugate Gradient method in double precision to iteratively solve Ax - b for x. Use an initial estimate of xo - 0, a maximum of nmax - 20 iterations, and a stopping condition of +1-Xnlloo 10-4. State whether the solution has converged. Print a table showing the approximated solution for each iteration, reporting each value to four digits after the decimal. 4-2 0 -1 0 0 2 4 -2 0 0 -2 400 -1 0 18 -1 0 0 4-20 18 92 0 2 4-2 840 (b)A73 13, b-966 36 2 7 11 11 13 5 8 4 2 48 (c)A-4 2 4, b 48 84