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The transformation matrix required for conversion of CMY colour model to RGB colour model is given as :

  • A.\(\begin{bmatrix}R\\G\\B\end{bmatrix}\) = \(\begin{bmatrix}C\\M\\Y\end{bmatrix}\) - \(\begin{bmatrix}1\\1\\1\end{bmatrix}\)
  • B.\(\begin{bmatrix}R\\G\\B\end{bmatrix}\) = \(\begin{bmatrix}C\\M\\Y\end{bmatrix}\) - \(\begin{bmatrix}1\\2\\3\end{bmatrix}\)
  • C.\(\begin{bmatrix}R\\G\\B\end{bmatrix}\) = \(\begin{bmatrix}1\\1\\1\end{bmatrix}\) - \(\begin{bmatrix}C\\M\\Y\end{bmatrix}\)
  • D.\(\begin{bmatrix}R\\G\\B\end{bmatrix}\) = \(\begin{bmatrix}C\\M\\Y\end{bmatrix}\) - \(\begin{bmatrix}0.5\\0.5\\0.5\end{bmatrix}\)

Answer: C

The conversion is R, G, B equal to the column (1, 1, 1) minus the column (C, M, Y). The CMY components are the complements of the RGB components, so \(C = 1 - R\), \(M = 1 - G\) and \(Y = 1 - B\), and therefore \(R = 1 - C\), \(G = 1 - M\), \(B = 1 - Y\). This is option C.

Options A, B and D subtract the constants from the CMY column instead of subtracting the CMY column from 1, so they reverse the operation.

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