Two classes are defined by:

Class 1: (1, 4), (1, 5), (0, 2), (-2, 3)

Class 2: (3, 1),(3, -3), (4, 1), (5, 3), (6, 2)

a. Plot these sets of examples on the plane (x1, x2).

b. For the following two classes, determine the optimized matrix M after learning, with a learning parameter of 0.3, beginning from w0=(0.2, 0.2, 0.2) and a bias of -1.

Class 1 is 1 and Class 2 is -1.

Is this perceptron a good classifier? In case of a good classifier, find the equation of the line that separates these two classes and draw it in the plot of question a.