 # 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.] 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: Tips of the Day

Python: How do I copy a file in Python?

shutil has many methods you can use. One of which is:

```from shutil import copyfile
copyfile(src, dst)
```
• Copy the contents of the file named src to a file named dst.
• The destination location must be writable; otherwise, an IOError exception will be raised.
• If dst already exists, it will be replaced.
• Special files such as character or block devices and pipes cannot be copied with this function.
• With copy, src and dst are path names given as strings.

If you use os.path operations, use copy rather than copyfile. copyfile will only accept strings.

Ref: https://bit.ly/3e2Y1G0