Q1. (Answer in writing) 20 marks Suppose we have points at the locations: x1 = (1,3), x2 = (4,7), x3 = (2,9), x4 = (2,2), x5 = (3,6). Suppose, the k-means algorithm (k 2) initially picks centroids at (1,4) and (4,4). (i) which points will be assigned to each centroid? (ii) if c1 is one the centroids, is the following statements true or 2 ||2 - 2||2 false: z = c1, is the vector for which is i=1 = minimized. Justify your