[Solved] 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.)

Q.	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» D. at least one principal component direction is orthogonal to a hyperplane that contains all the sample points

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