Problem $3$

$($Credit: S$.$ Marsland, Machine Learning: An Algorithmic Perspective $($Second Edition$),2015.)$

Suppose that the following are a set of points in two classes:

Class $1$: $(1,1),(1,2),(2,1)$

Class $2$: $(0,0),(1,0),(0,1)$

Find the weight vector and bias for the optimal separating hyperplane, the support vectors, and the

margin. Use a hard margin linear SVM$.$