Question $3.(10$ points$)$

Hard Margin SVM

Support vector machines learn a decision boundary leading to the largest margin from both classes. You are training SVM on a tiny dataset with $4$ points shown in Figure $2.$ This dataset consists of two examples with class label $-1($denoted with plus$),$ and two examples with class label $+1($denoted with triangles$).$

i$.$ Find the weight vector $w$ and bias $b.$ What's the equation corresponding to the decision boundary? $(5$ Points$)$