Calculate Yes$/$Today$)$

Q$2)$ Answer the following questions:

a$.$ Use the k$-$means algorithm and Euclidean distance to cluster the following $8$ points into $3$ clusters:

$A1=(2,10),A2=(2,5),A3=(8,4),A4=(5,8),A5=(7,5),A6=(6,4),A7=(1,2),$

$A8=(4,9).$

The distance matrix based on the Euclidean distance is given below:

$\backslash$table$[[,$A$1,$A$2,$A$3,$A$4,$A$5,$A$6,$A$7,$A$8],[$A$1,0,\sqrt[\phantom{2}]{25},\sqrt[\phantom{2}]{36},\sqrt[\phantom{2}]{13},\sqrt[\phantom{2}]{50},\sqrt[\phantom{2}]{52},\sqrt[\phantom{2}]{65},\sqrt[\phantom{2}]{5}$