# NumPy: Advanced Exercises, Practice, Solution

## Advanced NumPy Exercises [ 33 exercises with solution]

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1. Write a NumPy program to find the dot product of two arrays of different dimensions.
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2. Write a NumPy program to create a 3x3 identity matrix and stack it vertically and horizontally.
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3. Write a NumPy program to create a 4x4 array with random values and find the sum of each row.
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4. Write a NumPy program to create a 3x3 array with random values and subtract the mean of each row from each element.
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5. Write a NumPy program to create a 3x3 array with random values and subtract the mean of each column from each element.
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6. Write a NumPy program to create a 5x5 array with random values and normalize it row-wise.
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7. Write a NumPy program to create a 5x5 array with random values and normalize it column-wise.
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8. Write a NumPy program to create a 3x3x3 array with random values and find the sum along the last axis.
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9. Write a NumPy program to create a 5x5 array with random values and sort each row.
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10. Write a NumPy program to create a 5x5 array with random values and sort each column.
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11. Write a NumPy program to create a 5x5 array with random values and find the second-largest value in each row.
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12. Write a NumPy program to create a 5x5 array with random values and find the second-largest value in each column.
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13. Write a NumPy program to create a 5x5 array with random values and replace the maximum value with 0.
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14. Write a NumPy program to create a 5x5 array with random values and replace the minimum value with 0.
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15. Write a NumPy program to create a 5x5 array with random values and calculate the exponential of each element.
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16. Write a NumPy program to create a 4x4 array with random values and compute the eigenvalues and eigenvectors.
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17. Write a NumPy program to create a 6x6 array with random values and compute the inverse of the matrix.
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18. Write a NumPy program to create a 4x4 array with random values and calculate the determinant.
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19. Write a NumPy program to create a 3x3x3 array with random values and flatten it to a 1D array.
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20. Write a NumPy program to create a 5x5 array with random values and calculate the trace of the matrix.
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21. Write a NumPy program to create a 4x4 array with random values and extract the upper triangular part of the matrix.
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22. Write a NumPy program to create a 4x4 array with random values and extract the lower triangular part of the matrix.
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23. Write a NumPy program to create a 6x6 array with random values and compute the rank of the matrix.
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24. Write a NumPy program to create a 3x3 array with random values and compute the Frobenius norm of the matrix.
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25. Write a NumPy program to create a 5x5 array with random values and find the index of the maximum value in each row.
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26. Write a NumPy program to create a 5x5 array with random values and find the index of the minimum value in each row.
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27. Write a NumPy program to create a 3x3 array with random values and compute the QR decomposition.
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28. Write a NumPy program to create a 3x3 array with random values and compute the Cholesky decomposition.
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29. Write a NumPy program to create a 4x4 array with random values and swap the first and last rows.
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30. Write a NumPy program to create a 4x4 array with random values and rotate the array 90 degrees counterclockwise.
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31. Write a NumPy program to create a 4x4 array with random values and shift all elements one position to the right.
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32. Write a NumPy program to create a 4x4 array with random values and shift all elements one position downwards.
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33. Write a NumPy program to create a 3x3 array with random values and calculate the pairwise Euclidean distance between each pair of rows.
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