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NumPy: Compute the eigenvalues and right eigenvectors of a given square array

NumPy: Linear Algebra Exercise-7 with Solution

Write a NumPy program to compute the eigenvalues and right eigenvectors of a given square array.

Sample Solution :

Python Code :

import numpy as np
m = np.mat("3 -2;1 0")
print("Original matrix:")
print("a\n", m)
w, v = np.linalg.eig(m) 
print( "Eigenvalues of the said matrix",w)
print( "Eigenvectors of the said matrix",v)

Sample Output:

Original matrix:
a
 [[ 3 -2]
 [ 1  0]]
Eigenvalues of the said matrix [ 2.  1.]
Eigenvectors of the said matrix [[ 0.89442719  0.70710678]
 [ 0.4472136   0.70710678]]

Python Code Editor:


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Previous: Write a NumPy program to compute the inner product of vectors for 1-D arrays (without complex conjugation) and in higher dimension.
Next: Write a NumPy program to compute the Kronecker product of two given mulitdimension arrays.

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Python: Tips of the Day

Merges two or more lists into a list of lists, combining elements from each of the input lists based on their positions

Example:

def tips_merge(*args, fill_value=None):
  max_length = max([len(lst) for lst in args])
  result = []
  for i in range(max_length):
    result.append([
      args[k][i] if i < len(args[k])
	  else fill_value for k in range(len(args))
    ])
  return result
print(tips_merge(['x', 'y'], [1, 2], [True, False])) 
print(tips_merge(['x'], [1, 2], [True, False])) 
print(tips_merge(['x'], [1, 2], [True, False], fill_value = '_')) 

Output:

[['x', 1, True], ['y', 2, False]]
[['x', 1, True], [None, 2, False]]
[['x', 1, True], ['_', 2, False]]