Understanding linear SVM algorithm

In Chapter 2, Supervised and Unsupervised Learning Algorithms, we covered the SVM algorithm and now have an idea of how the SVM model works. A linear support vector machine or linear SVM is a linear classifier that tries to find a hyperplane with the largest margin that splits the input space into two regions. 

A hyperplane is a generalization of a plane. In one dimension, a hyperplane is called a point. In two dimensions, it is a line. In three dimensions, it is a plane. In more dimensions, you can call it a hyperplane.

As we saw, the goal of SVM is to identify the hyperplane that tries to find the largest margin that splits the input space into two regions. If the input space is linearly separable, it is easy to separate them. However, in real life, we find that the input space is very non-linear...