# 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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