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.)

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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

(D) at least one principal component direction is orthogonal to a hyperplane that contains all the sample points

Correct answer : Option (D) - at least one principal component direction is orthogonal to a hyperplane that contains all the sample points

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