[Solved] What will be the output of this code?import numpy as np x = np.array([[1], [2], [3]]) y = np.array([10, 20, 30]) print(x + y) | NumPy

NumPy - Broadcasting

What will be the output of this code?

import numpy as np
x = np.array([[1], [2], [3]])
y = np.array([10, 20, 30])
print(x + y)

AError due to incompatible shapes

B[[11 12 13] [21 22 23] [31 32 33]]

C[[10 20 30] [10 20 30] [10 20 30]]

D[[11 21 31] [12 22 32] [13 23 33]]

Step-by-Step Solution

Solution:

Step 1: Check shapes of x and y
x shape is (3,1), y shape is (3,). y broadcasts to (1,3).
Step 2: Broadcasting rules apply
x broadcasts across columns, y broadcasts across rows, resulting in shape (3,3). Addition is element-wise.
Final Answer:
[[11 21 31] [12 22 32] [13 23 33]] -> Option D
Quick Check:
Broadcasting expands x and y to (3,3) for addition [OK]

Quick Trick: Column vector plus row vector broadcasts to matrix [OK]

Common Mistakes:

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What will be the output of this code?