$2.$ Consider the following training set:

$($Application$,5)$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash (\backslash$mathrm$\{$f$\}\_\{1\}\backslash )$ & $\backslash (\backslash$mathrm$\{$f$\}\_\{2\}\backslash )$ & Class $\backslash \backslash$

$\backslash$hline $1$ & $1$ & $1\backslash \backslash$

$\backslash$hline $1\mathrm{.}5$ & $2$ & $1\backslash \backslash$

$\backslash$hline $2$ & $2$ & $1\backslash \backslash$

$\backslash$hline $7$ & $6$ & $2\backslash \backslash$

$\backslash$hline $6\mathrm{.}5$ & $6$ & $2\backslash \backslash$

$\backslash$hline $6\mathrm{.}5$ & $6\mathrm{.}5$ & $2\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Plot them and find the optimal separating line. What are the support vectors, and what is the margin width?