a neuron generates responses that are a weighted sum of the (positive-valued) intensities of light that is sensed at 7 localized regions of the...

a neuron generates responses that are a weighted sum of the (positive-valued) intensities of light that is sensed

at 7 localized regions of the retina. The weight vector is [1, 3, 4, 5, 4, 3, 1]. (a) Is this system

linear? If so, prove it. If not, provide a counterexample. (b) What unit-length stimulus vector

(i.e., vector of light intensities) elicits the largest response in the neuron? Explain how you

arrived at your answer. (c) What physically-realizable unit-length stimulus vector produces

the smallest response in this neuron? Explain.