Consider the following example from lecture, which shows the decision boundary resulting from apply$-$

ing kernel SVM $($with quadratic kernel$)$ to a small two$-$dimensional data set.

$($a$)$ What is the dimension of $$ in this case?

$($b$)$ How many entries in $$ are $>0?$

$($c$)$ How many entries in $$ are

$($d$)$ For you to think about: why does the margin on the green side appear to be larger than the

margin on the purple side?