$(6$ pts$)$ P$5-2$: Provide the definition of the proximity matrix for hierarchical clustering algorithms. Consider you have the following data points. Please show the proximity matrix $($you can represent results without calculating the square roots$).$

$(6$ pts$)$ P$5-3$: The clustering data points are shown in Figure $3.$ Provide the hierarchical clustering results with MAX similarity $($steps ordered by number$).$ And show the Dendrogram of that result.