Q$1.$ SVM

Consider a dataset with the following two$-$dimensional points:

Category A: $(2,4),(3,5),(5,7),(6,8)$

Category B: $(8,3),(9,2),(11,4),(12,5)$

You are tasked with training a support vector machine $($SVM$)$ classifier on

this dataset to classify the points into two categories, Category A and

Category B$.$

a$)$ Plot the dataset on a $2$D graph with different markers for points from

Category A and Category B

b$)$ Train an SVM classifier on this dataset.

c$)$ Calculate the equation of the decision boundary $($hyperplane$)$ generated

by the SVM$.$

d$)$ Plot the decision boundary on the graph.

e$)$ Classify a new point $(2,11)$ using the trained SVM model. Need the hand written solution for every with each and every step except part b