# NumPy Broadcasting Exercises, Practice, Solution

## NumPy Broadcasting Exercises [ 20 exercises with solution]

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From numpy.org -
The term broadcasting describes how NumPy treats arrays with different shapes during arithmetic operations. Subject to certain constraints, the smaller array is "broadcast" across the larger array so that they have compatible shapes. Broadcasting provides a means of vectorizing array operations so that looping occurs in C instead of Python. It does this without making needless copies of data and usually leads to efficient algorithm implementations. There are, however, cases where broadcasting is a bad idea because it leads to inefficient use of memory that slows computation.

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2. Write a NumPy program that creates a 2D array x of shape (3, 4) and a 1D array y of shape (4,). Subtract y from each row of x using broadcasting.
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3. Write a NumPy program that multiplies a 3D array of shape (2, 3, 4) by a 1D array of shape (4,) using broadcasting.
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4. Write a NumPy program that adds a scalar value to a 2D array of shape (5, 5) using broadcasting.
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5. Given two arrays, x = np.array([1, 2, 3]) and y = np.array([4, 5, 6, 7, 8, 9]). Write a Numpy program that reshapes x and y to make them broadcast-compatible and perform element-wise multiplication.
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6. Write a NumPy program that divides each column of a 2D array x of shape (4, 3) by a 1D array y of shape (4,) using broadcasting.
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7. Given a 2D array of shape (3, 5) and a 1D array of shape (3,). Write a Numpy program that transposes the 2D array and add the 1D array to each row of the transposed array.
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8. Write a NumPy program to subtract a 1D array y of shape (3,) from each 2D slice of a 3D array x of shape (2, 3, 4) using broadcasting.
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9. Write a NumPy program that creates two 1D arrays x of shape (5,) and y of shape (5,). Reshape them to (5, 1) and (1, 5) respectively, and perform element-wise addition using broadcasting.
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10. Write a NumPy program that performs element-wise division of a 2D array x of shape (6, 4) by a 1D array y of shape (4,) using broadcasting.
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11. Given a 3D array x of shape (2, 3, 4) and a 2D array y of shape (3, 4). Write a NumPy program to add them using broadcasting.
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12. Write a NumPy program that creates a 2D array x of shape (4, 4) and a scalar y. Perform element-wise multiplication of a and b using broadcasting.
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13. Write a NumPy program that multiplies each row of a 2D array a of shape (4, 4) by a 1D array b of shape (4,) using broadcasting.
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14. Write a Numpy program that adds a 1D array of shape (6,) to each 2D slice of a 3D array of shape (2, 6, 4) using broadcasting.
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15. Given two arrays, x of shape (2, 1, 3) and y of shape (1, 4, 1), use broadcasting write a NumPy program to obtain a result of shape (2, 4, 3) through element-wise addition.
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16. Write a NumPy program to subtract a 1D array y of shape (4,) from a 3D array x of shape (2, 3, 4) using broadcasting.
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17. Create a 2D array x of shape (5, 5) and a 1D array y of shape (5,). Write a NumPy program that divides each row of a by b using broadcasting.
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18. Given two 1D arrays a of shape (8,) and b of shape (4,), write a NumPy program to reshape them and perform element-wise addition using broadcasting to get a 2D array of shape (8, 4).
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19. Write a NumPy program to create a 3D array x of shape (3, 1, 5) and a 2D array y of shape (3, 5). Add x and y using broadcasting.
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20. Write a NumPy program that Multiplies each column of a 2D array x of shape (7, 3) by a 1D array y of shape (7,) using broadcasting.
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