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If you apply linkage to a dataset with 7 samples, what will be the shape of the resulting linkage matrix?

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SciPy - Clustering and Distance
If you apply linkage to a dataset with 7 samples, what will be the shape of the resulting linkage matrix?
A(6, 4)
B(7, 4)
C(7, 3)
D(6, 3)
Step-by-Step Solution
Solution:
  1. Step 1: Understand linkage matrix dimensions

    The linkage matrix has (n-1) rows and 4 columns, where n is the number of samples.
  2. Step 2: Calculate for n=7

    For 7 samples, rows = 7 - 1 = 6, columns = 4.
  3. Final Answer:

    (6, 4) -> Option A
  4. Quick Check:

    Rows = samples - 1, columns fixed at 4 [OK]
Quick Trick: Linkage matrix shape is (n-1, 4) for n samples [OK]
Common Mistakes:
  • Confusing number of rows with number of samples
  • Assuming 3 columns instead of 4
  • Mixing up rows and columns

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