Consider the data set:

Class A points:

$(3,3)$

$(3,4)$

$(6,3)$

$(6,4)$

Class B points:

$(1,3\mathrm{.}5)$

$(5,1)$

$(5,5)$

$(8,3\mathrm{.}5)$

Find the equation of hyperplane for this non$-$linear decision boundary using SVM$.$ Use Gaussian Kernel for transformation. Show the changes after transformation. Solve mathematically and explain step$-$by$-$step.

DO NOT WRITE PYTHON CODE.

Assume any missing values. Use sensible values.