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    Compute the Eigenvectors of a NumPy Array

    A Compute the Eigenvectors of a NumPy Array

    Short Description of the Program:
    This program computes the eigenvectors (and eigenvalues) of a square NumPy array using the np.linalg.eig() function.

    Explanation:

    • np.array()
      Creates a 2×2 square matrix, which is necessary to compute eigenvectors.
       
    • np.linalg.eig(array)
      Returns two values:
       
      1. eigenvalues: the characteristic roots
         
      2. eigenvectors: the corresponding direction vectors
         
    • print()
      Displays the matrix, its eigenvalues, and eigenvectors.
       

    Program:

    import numpy as np

array = np.array([[4, -2],

                  [1, 1]])

eigenvalues, eigenvectors = np.linalg.eig(array)

print("Original Array:\n", array)

print("\nEigenvalues:\n", eigenvalues)

print("\nEigenvectors:\n", eigenvectors)

     

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