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Assume that a CLUT has a three-bit RGB color index and produces a 24-bit (3 byte) color output. Write out a CLUT that transforms the input colors into approximately correct grey levels. Some of the following decimal-binary pairs might help you and you can interpolate your own to get values that are a bit more appropriate:
0: 00000000 8: 00001000 16: 00010000 32: 00100000 64: 01000000 128: 10000000 255: 11111111
That is, you should write each entry of the CLUT table as a 24 bit value made up of three bytes.
Compute the square of the following transformation matrix where A = sqrt(2)/ 2. Apply the original matrix to the point 1,0 and also apply the product matrix to the point 1,0. Discuss your result -- what is going on? What type of transformations are these? Hint: "square" simply means multiplying the matrix by (a copy of) itself.
_ _ | | | A - A | | | | | | A A | | | - -