[Solved] What is the output of this code snippet?from scipy.cluster.hierarchy import linkage import numpy as np X = np.array([[1, 2], [3, 4], [5, 6]]) Z = linkage(X, method='single') print(Z.shape) | SciPy

SciPy - Clustering and Distance

What is the output of this code snippet?

from scipy.cluster.hierarchy import linkage
import numpy as np

X = np.array([[1, 2], [3, 4], [5, 6]])
Z = linkage(X, method='single')
print(Z.shape)

A(2, 3)

B(3, 4)

C(2, 4)

D(3, 3)

Step-by-Step Solution

Solution:

Step 1: Understand linkage output shape
For n data points, linkage returns a matrix with n-1 rows and 4 columns.
Step 2: Calculate shape for 3 points
Here, n=3, so output shape is (2, 4).
Final Answer:
(2, 4) -> Option C
Quick Check:
Linkage shape = (n-1, 4) = (2, 4) [OK]

Quick Trick: Linkage output shape = (n-1, 4) for n points [OK]

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What is the output of this code snippet?