Question: Total of 15 points) Cluster the points given below into three clusters using k-means with Euclidean distance. Suppose that initially A1, A4, and A7 are

Total of 15 points) Cluster the points given below into three

Total of 15 points) Cluster the points given below into three clusters using k-means with Euclidean distance. Suppose that initially A1, A4, and A7 are chosen as the center of each cluster respectively. Point x y Point x y Al 2 10 A5 7 5 A2 2 5 A6 6 4 A3 8 4 A7 2 A4 5 8 A8 4 9 A) (5 points) Compute the three cluster centers after the first iteration. B) (10 points) Show the final three clusters. (Show your work step by step clearly.)

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