Suppose that a camera has red, green, and blue primaries with spectral sensitivities r,g, and b respectively. (r, g, and b are 31-by-1 vectors.) The CIE XYZ color matching functions are x, y, and z. (a) Write the trichromatic coefficients of the primaries. A color is represented by the camera's color space as c=JRRr+JGGg+JBBb, where (R,G,B) are the responses of the red, green and blue pixels, and (JR,JG,JB) are scale factors. (b) Write transformation from (R,G,B) space to CIE tristimulus space (X,Y,Z). (c) Given the trichromatic coefficients of the white point as (xw,yw,zw), show how to calculate the scale factors