Question: Consider 4 data points in the 2-d space: (-1,-1), (0.5, -0.5), (1, 1), and (-0.5, 0.5). . What is the first principal component? If

Consider 4 data points in the 2-d space: (-1,-1), (0.5, -0.5), (1, 1), and (-0.5, 0.5). . What is the first

Consider 4 data points in the 2-d space: (-1,-1), (0.5, -0.5), (1, 1), and (-0.5, 0.5). . What is the first principal component? If we project all points into the 1-d subspace by the first principal component, what is the new representation of the four data points?

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