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Explain PCA and the curse of dimensionality. When and how do you reduce dimensions?

Dimensionality questions test linear-algebra intuition and practical judgment at once. The signal is what PCA actually does (project onto max-variance directions), why high dimensions hurt, and the honest catch: it is unsupervised, so it can throw away the exact direction your label needs. Here is the answer.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

Dimensionality questions test linear-algebra intuition and practical judgment at once. The signal is what PCA actually does (project onto max-variance directions), why high dimensions hurt, and the honest catch: it is unsupervised, so it can throw away the exact direction your label needs. Here is the answer.

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