use python

Problem 3. Exercise 3.1 on Page 57. Here A is a matrix of order n with entries being random numbers. Hint: In Python, use the following functions from numpy. >>> import numpy as np >>> np.random.seed(123) >>> import numpy.matlib >>> n=3 >>> A=np.matlib.rand(n, n) >>> M=np.max(abs(A)) # Find the maximum entries of A in absolute value. Then calculate norms: >>> from numpy import linals as LA >>> np.linalg.norm(A, 1) # for || A|| 1 >>> np.linalg.norm(A, 2) # for || All2 >>> np.linalg.norm(A, 1) # for Alli >>> np.linalg.norm(A, np.inf) # for ||Alloo >>> np.linalg.norm(A, 'fro') # for All 3.4 Exercises Define M = maxij Ajl (M may be computed by the Matlab function max). n a Compare M with the norms || A|| 13 || A||2, || A||oo, and ||1||| (use the function norm). Justify