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1. (10 points) Suppose we are given real-valued scalar data (i.e., d = 1) belonging to one of two classes. We are given a set of three data samples with negative labels, X- = {0, 1, - -1}, , and a set of three data samples with positive labels, X+ = {-3,3,-2}. - Our goal is to build a classifier for this dataset. We will show that kernel methods are particularly useful in this case. a. Argue that no perfect linear separator in the original space can exist.

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