Answer the following questions

$1.$ Given five data points p$1=5$; p$2=7$; p$3=11$; p$4=16$; p$5=24.$ Perform hierarchical

agglomerative clustering using MAX intercluster similarity. $($Hint: the proximity matrix will be the dissimilarity$)$

a$.$ Show the proximity matrix for each step $(4$ matrices in total$)(8$pts$)$ and the resulting dendrogram $(2$pts$)$