[Solved] You have a 3D array of shape (2, 3, 1) representing 2 samples, 3 features, and 1 measurement each.... How can you broadcast these arrays to add them correctly? | NumPy

NumPy - Broadcasting

You have a 3D array of shape (2, 3, 1) representing 2 samples, 3 features, and 1 measurement each. You want to add a 2D array of shape (3, 4) representing 4 measurements for each feature. How can you broadcast these arrays to add them correctly?

AAdd directly without reshaping, broadcasting works automatically

BTranspose the 3D array to (3, 2, 1) and add directly

CReshape the 3D array to (2, 3) and add to the 2D array

DReshape the 2D array to (3, 1, 4) and add to the 3D array

Step-by-Step Solution

Solution:

Step 1: Analyze shapes for broadcasting
3D shape (2,3,1), 2D (3,4). NumPy automatically pads the shorter shape with 1s on the left to (1,3,4).
Step 2: Check compatibility
Compare (2,3,1) vs (1,3,4): 2 vs 1 (ok), 3 vs 3 (ok), 1 vs 4 (ok).
Final Answer:
Add directly without reshaping, broadcasting works automatically -> Option A
Quick Check:
NumPy auto-pads for broadcasting [OK]

Quick Trick: Direct addition works due to automatic padding [OK]

Common Mistakes:

Reshaping to incompatible shapes like (3,1,4)
Transposing instead of using auto-padding
Ignoring dimension order

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How can you broadcast these arrays to add them correctly?

Step 1: Analyze shapes for broadcasting

Step 2: Check compatibility

Final Answer:

Quick Check:

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