The color of light can be represented in a vectorwhere R = amount of red, G = amount of

Chapter 2, Problem 104

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The color of light can be represented in a vectorwhere R = amount of red, G = amount of green, and B = amount of blue. The human eye and the brain trans- form the incoming signal into the signalwhereintensity* Find the matrix P representing the transformation Consider a pair of yellow sunglasses for water sports that cuts out all blue light and passes all red and green light. Find the 3 x 3 matrix A that represents the transformation incoming light undergoes as it passes through the sunglasses. Find the matrix for the composite transformation that light undergoes as it first passes through the sunglasses and then the eye. As you put on the sunglasses, the signal you receive (intensity, long- and short-wave signals) undergoes a transformation. Find the matrix M of this transformation.

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