[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]) Z = X + Y print(Z) | 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])
Z = X + Y
print(Z)

AError due to incompatible shapes

B[[11 21 31] [12 22 32]]

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

D[[10 20 30] [10 20 30] [10 20 30]]

Step-by-Step Solution

Solution:

Step 1: Check shapes for broadcasting
X shape is (3,1), Y shape is (3,). Y broadcasts to (1,3), X broadcasts to (3,1), result shape (3,3).
Step 2: Calculate element-wise addition
Each element of X added to each element of Y: first row [1+10,1+20,1+30], second row [2+10,2+20,2+30], third row [3+10,3+20,3+30].
Final Answer:
[[11 21 31] [12 22 32] [13 23 33]] -> Option C
Quick Check:
Broadcasting expands arrays to (3,3) for addition [OK]

Quick Trick: Broadcast column vector with row vector to get matrix [OK]

Common Mistakes:

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