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We want to design a perceptron network to output a 1 when either of these two vectors are input to the network:
and to output a -1 when either of the following vectors are input to the network:
i. Find and sketch a decision boundary for a network that will solve this problem.
ii. Find weights and biases that will produce the decision boundary you found in part i. Show all work.
iii. Draw the network diagram using abreviated notation.
iv. For each of the four vectors given above, calculate the net input, n, and the network output, a, for the network you have designed. Verify that your network solves the problem.
v. Are there other weights and biases that would solve the problem? If so, would you consider your weights best? Explain.
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