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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-Numpy 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

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m