use MATLAB if necessary

Problem 1 Consider multispectral light (A) with a spectral power distribution represented as S(2)oc a 8(2-500nm)+ 3 8(2-580nm), Where d is the delta function, a and B are constants. In the following assume a = B a. Plot s(2). b. Determine the three primary (color-matching) intensities of light A based on the standard color-matching functions (CIE 1931). c. Determine the coordinates in the CIE xy chromaticity diagram. Plot the location of color A in the diagram. What would an average human call this color? d. Find a different light (B) that is a metamer of the light A. How many solutions are there? e. Indicate in the CIE xy chromaticity diagram what other colors could be generated by changing arbitrarily a and B.2. Half-Wave Retarder. Consider linearly polarized light passed through a half-wave retarder. If the polarization plane makes an angle 8 with the fast axis of the retarder, show that the transmitted light is linearly polarized at an angle - 6, 1.e., it is rotated by an angle 20. Why is the half-wave retarder not equivalent to a polarization rotator