Python Code for Matrix

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Section 2.7 Python Code for Matrix

Problem 2.7.1.

To solve problem like Example 2.4.12 excute the following code in python shell

Solution.

import numpy as np

A=np.array([[6,-3,0],[-3,12,5],[0,5,11]])

B= np.array([5,10,5])

I =np.linalg.solve(A,B)

Answer.

array([ 1.45488029, 1.24309392, -0.11049724])

Problem 2.7.2.

To solve problem like Example 2.6.4 excute the following code in the python shell

Solution.

import numpy as np

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

E,v=np.linalg.eig(A)

print(’E-value:’, E)

print(’E-vector’, v)

Answer.

E-value: [4. 1.]

E-vector [[ 0.70710678 -0.4472136 ] [ 0.70710678 0.89442719]]

Problem 2.7.3.

Example 2.6.5

Solution.

import numpy as np

A=np.array([[2,-1,1],[-1,2,-1],[1,-1,2]])

E,v=np.linalg.eig(A)

print(’E-value:’, E)

print(’E-vector’, v)

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