E3.2 Consider the following prototype patterns. P₁ = P2 = i. Find and sketch a decision boundary for a perceptron network that will recognize these two vectors. ii. Find weights and bias which will produce the decision boundary you found in part i, and sketch the network diagram. iii. Calculate the network output for the following input. Is the network response (decision) reasonable? Explain. p = iv. Design a Hamming network to recognize the two prototype vectors above.