2 Marks Question Two Cluster the following eight points into three clusters using K means clustering algorithm and use Euclidean distance. Ala(2,10), A2-(2,5), ??-64), A4-(5,8), A5-(7,5), A6 (6,4), A7-(1,2), A8 (4,9). a) Create distance matrix by calculating Euclidean distance between each pair of points. (0.5 mark) b) Suppose that the initial centers of each cluster are A1, A4 and A7. Run the k-means algorithm for once only and show: i. The new clusters (i.e. the examples belonging to each cluster) (1 mark) ii The centers of the new clusters (0.5 mark) Show all your work