This problem involves hyperplanes in two dimensions. a. Sketch the hyperplane 1 +3X1 X2 = 0....

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This problem involves hyperplanes in two dimensions. a. Sketch the hyperplane 1 +3X1 X2 = 0. Indicate the set of points for which 1+ 3X1 X2 >0, as well as the set of points for which 1 + 3X1 - X2 <0. b. On the same plot, sketch the hyperplane-2 + X1 + 2X2=0. Indicate the set of points for which -2 + X1 + 2X2>0, as well as the set of points for which -2 + X1 + 2X2 <0. This problem involves hyperplanes in two dimensions. a. Sketch the hyperplane 1 +3X1 X2 = 0. Indicate the set of points for which 1+ 3X1 X2 >0, as well as the set of points for which 1 + 3X1 - X2 <0. b. On the same plot, sketch the hyperplane-2 + X1 + 2X2=0. Indicate the set of points for which -2 + X1 + 2X2>0, as well as the set of points for which -2 + X1 + 2X2 <0.