[Solved] You have a dataset with shape (100, 1) representing 100 samples and a feature vector of shape (5,).... Which broadcasting operation correctly achieves this? | NumPy

NumPy - Broadcasting

You have a dataset with shape (100, 1) representing 100 samples and a feature vector of shape (5,). You want to add the feature vector to each sample. Which broadcasting operation correctly achieves this?

AAdd the (100,1) array to the (5,1) reshaped feature vector

BAdd the (100,1) array directly to the (5,) feature vector

CAdd the (100,) array to the (5,) feature vector

DAdd the (1,100) array to the (5,) feature vector

Step-by-Step Solution

Solution:

Step 1: Understand shapes
Dataset shape is (100,1), feature vector is (5,). Adding directly broadcasts (5,) to (1,5).
Step 2: Confirm broadcasting
Adding (100,1) + (5,) broadcasts to (100,5), adding feature vector to each sample.
Final Answer:
Add the (100,1) array directly to the (5,) feature vector -> Option B
Quick Check:
Broadcasting (100,1) + (5,) = (100,5) [OK]

Quick Trick: Add (100,1) + (5,) to broadcast features per sample [OK]

Common Mistakes:

Reshaping unnecessarily
Confusing feature vector shape
Assuming shapes must match exactly

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Which broadcasting operation correctly achieves this?

Step 1: Understand shapes

Step 2: Confirm broadcasting

Final Answer:

Quick Check:

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