[Solved] Given the following code:from scipy.cluster.hierarchy import linkage import numpy as np X = np.array([[1, 2], [3, 4], [5, 6]]) Z = linkage(X, method='complete') print(Z.shape)What will be printed? | SciPy

SciPy - Clustering and Distance

Given the following code:

from scipy.cluster.hierarchy import linkage
import numpy as np
X = np.array([[1, 2], [3, 4], [5, 6]])
Z = linkage(X, method='complete')
print(Z.shape)

What will be printed?

A(3, 3)

B(2, 4)

C(2, 3)

D(3, 4)

Step-by-Step Solution

Solution:

Step 1: Determine number of samples in X
X has 3 samples (rows).
Step 2: Calculate linkage output shape
Output shape is (n-1, 4) = (2, 4).
Final Answer:
(2, 4) -> Option B
Quick Check:
linkage output shape for 3 samples = (2, 4) [OK]

Quick Trick: Linkage output rows = samples - 1 [OK]

Common Mistakes:

Confusing number of samples with output rows
Miscounting columns in output
Assuming output shape equals input shape

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Given the following code:

Step 1: Determine number of samples in X

Step 2: Calculate linkage output shape

Final Answer:

Quick Check:

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