Consider a classification problem defined with the set of 3-D samples X, where two dimensions are inputs and the third one is the output.

For the answer, I am interested in the math, not the code.

X:	I1	I2	O
	-1	1	1
	0	0	1
	1	-1	1
	1	0	0
	0	1	0

Draw a graph of the data points X labeled according to their classes. Is the problem of classification solvable with a single-neuron perceptron? Explain the answer.

b.) Draw a diagram of the perceptron you would use to solve the problem. Define the initial values for all network parameters.

Again, please do not answer with code.