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NumPy Linear Algebra: Exercises, Practice, Solution

NumPy Linear Algebra [19 exercises with solution]

[An editor is available at the bottom of the page to write and execute the scripts.]

Linear algebra: Pictorial Presentation

1. Write a NumPy program to compute the multiplication of two given matrixes. Go to the editor
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2. Write a NumPy program to compute the outer product of two given vectors. Go to the editor
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3. Write a NumPy program to compute the cross product of two given vectors. Go to the editor
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4. Write a NumPy program to compute the determinant of a given square array. Go to the editor
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5. Write a NumPy program to evaluate Einstein's summation convention of two given multidimensional arrays. Go to the editor
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6. Write a NumPy program to compute the inner product of vectors for 1-D arrays (without complex conjugation) and in higher dimension. Go to the editor
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7. Write a NumPy program to compute the eigenvalues and right eigenvectors of a given square array. Go to the editor
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8. Write a NumPy program to compute the Kronecker product of two given mulitdimension arrays. Go to the editor
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9. Write a NumPy program to compute the condition number of a given matrix. Go to the editor
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10. Write a NumPy program to find a matrix or vector norm. Go to the editor
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11. Write a NumPy program to compute the determinant of an array. Go to the editor
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12. Write a NumPy program to compute the inverse of a given matrix. Go to the editor
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13. Write a NumPy program to calculate the QR decomposition of a given matrix. Go to the editor
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14. Write a NumPy program to compute the condition number of a given matrix. Go to the editor
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15. Write a NumPy program to compute the sum of the diagonal element of a given array. Go to the editor
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16. Write a NumPy program to get the lower-triangular L in the Cholesky decomposition of a given array. Go to the editor
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17. Write a NumPy program to get the qr factorization of a given array. Go to the editor
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18. Write a NumPy program to compute the factor of a given array by Singular Value Decomposition. Go to the editor
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19. Write a NumPy program to calculate the Frobenius norm and the condition number of a given array. Go to the editor
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Python-Numpy Code Editor:

More to Come !

Do not submit any solution of the above exercises at here, if you want to contribute go to the appropriate exercise page.

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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