Please solve using python.

Find the approximate rank of the vector.

Compute the ranking of the 5 documents (columns) with respect to the query.

import pandas as pd import numpy as np from scipy import linalg as lg from scipy.linalg import svd np.set printoptions (precision=4, suppress=True) Compute the optimal rank-2 approximation of Matrix A using your SVD matrices. A=13005150515000201390 Let q=[4,1,2] be a query vector. Compute the ranking of the 5 documents (columns) of A with respect to q in the original term-space and the reduced 2-dimensional space