Let e = 10 2. Consider the matrix 1 2e e Problem 1: Find all the eigenvalues of

Question

Let e = 10 2. Consider the matrix 1 2e e Problem 1: Find all the eigenvalues of A using the power iteration method and deflation Problem 2: Find all the eigenvalues of A using inverse power iteration method and translation. NOTE: you have to explain your choices of translations The codes below output the eigenvalues you need to compute. They can be used for the calculation purposes. However, you must not use them in your codes In 1inport nunpy as np inport nunpy. linalg as LA eps 1e-2 Ap array ([1,2 eps, eps], [3*eps, 2,0], [O, eps, 3]1) print (LA. eig (A) [0]) 0.99940186 2.00059664 3.0000015

Explanation / Answer

Ans 1:

import numpy as np

import numpy.linalg

eps = 1e-2

A = np.array([[1,2*eps, eps],[3*eps,2,0],[0,eps,3]])

print  power_iteration(A)

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