$(4$ marks$)$

$($c$)$ Convert the following TDIM to a Frequency Normalised TF$-$IDF matrix and use the Vector Space Model to calculate the two most relevant documents to each of the following queries:

$($i$)$ UK prime minister meet officials in Ireland covid situation

$($ii$)$ Covid vaccine effect on omicron in Ireland

$\backslash$table$[[$Term$,$Occurrences$],[$D$1,$D$2,$D$3,$D$4,$D$5],[$ireland$,4,1,0,1,0],[$president$,0,0,0,5,2],[$prime$,1,0,2,0,0],[$minister$,1,0,2,0,0],[$UK$,1,0,2,2,3],[$covid$,1,3,0,0,1],[$vaccine$,0,1,0,0,0],[$health$,1,1,0,0,2],[$omicron$,0,2,0,0,2],[$US$,0,0,0,1,2]]$

$(15$ marks$)$

Total $(25$ marks$)$