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Transformationsmedium
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A point P(x,y)P(x, y)P(x,y) is transformed by the matrix T=(0.5000.5)T = \begin{pmatrix} 0.5 & 0 \\ 0 & 0.5 \end{pmatrix}T=(0.50​00.5​) followed by a translation of ⟨−2,4⟩\langle -2, 4 \rangle⟨−2,4⟩. If the final image is P′(1,2)P'(1, 2)P′(1,2), what are the coordinates of the original point PPP?