Which of the following statements are true for a design matrix X ∈ Rn×d with d > n? (The rows are n sample points and the columns represent d features.)
A. least-squares linear regression computes the weights w = (xtx)-1 xty
B. the sample points are linearly separable
C. x has exactly d - n eigenvectors with eigenvalue zero
D. at least one principal component direction is orthogonal to a hyperplane that contains all the sample points
Answer: Option D

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