3: Support Vector Machines (10 points) Consider the dataset given below (x1,x2 are the attributes and y is the class variable): x1 0 x2 y 0 1 1/3 1 +1 1/3 1 +1 2 2 +1 (a) (3 points) Write the expression for the primal problem for this dataset under the assumption that you are using the linear SVM. (b) (2 points) Is the data linearly separable? Circle one: YES NO. (c) (5 points) If your answer to the previous question is NO, please suggest a suitable Kernel which will ensure separability (namely, the function used separates the positive examples from the neg ative examples). If your answer is YES, please use the linear Kernel for this part. Write the expression for the SVM dual problem w.r.t. the Kernel and the data given above