Question $1($b$)$

The following $10$ instances are marked as positive $(R_1)$ and negative $(N_1).$ A single Perceptron is

used to divide the input space into two classes based on the instances. The resulting decision

boundary$/$hyperplane is shown in Figure $2$

$P_1=(4,1)$

$P_2=(2,-1)$

$P_3=(2,2)$

$P_4=(5,5)$

$P_5=(3,-2)$

$N_1=(-3,4)$

$N_2=(-1,1)$

$N_3=(3,6)$

$N_4=(-3,-1)$

$N_5=(-2,3)$

The cut$-$off points of the hyperplane are at $(0,1\mathrm{.}25)$ and $(-1,0).$