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Machine Learning Techniques · Quiz 1 · 25 Feb 2024 · January 2024 term

Question 1: Suppose a dataset lies in \mathbb{R}^4 and undergoes Prin…

Question 1

+4 marksOne correct option

Suppose a dataset lies in R4\mathbb{R}^4 and undergoes Principal Component Analysis (PCA) after being centered. The resulting first and second principal components are given by:

13⋅[1−101],13⋅[101−1]\frac{1}{\sqrt{3}} \cdot \begin{bmatrix} 1 \\ -1 \\ 0 \\ 1 \end{bmatrix}, \quad \frac{1}{\sqrt{3}} \cdot \begin{bmatrix} 1 \\ 0 \\ 1 \\ -1 \end{bmatrix}

Which of the following could be the third principal component?

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • D
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Question 1 of 13 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 1 paper sat on 25 Feb 2024, in the January 2024 term (IIT M DIPLOMA AN2 EXAM QDD2 25 Feb 2024). It carries 4 marks.

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