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Machine Learning Techniques, Quiz 1
Suppose a dataset lies in and undergoes Principal Component Analysis (PCA) after being centered. The resulting first and second principal components are given by:
Which of the following could be the third principal component?
Suppose a dataset lies in $\mathbb{R}^4$ and undergoes Principal Component Analysis (PCA) after being centered. The resulting first and second principal components are given by: $$\frac{1}{\sqrt{3}} \cdot \begin{bmatrix} 1 \\ -1 \\ 0 \\ 1 \end{bmatrix}, \quad \frac{1}{\sqrt{3}} \cdot \begin{bmatrix} 1 \\ 0 \\ 1 \\ -1 \end{bmatrix}$$ Which of the following could be the third principal component? Figure from the original question paper Figure from the original question paper