Q5. Dimension Reduction (16 points) Consider 4 data points in the 2-d space: (4,2),(1,3),(0,4), and (5,1). Q5.1. (12 pts) What is the first principal component? Q5.2. (4 pts) If we project all points into the 1-d subspace by the first principal component, what the variance of the projected data?.