Map or recover points and finite coordinate sets
Apply the stated plane map to the labelled data
The coordinate map is x' = x and y' = -y
\[p' = M p,\quad M = \begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}\]
Map the given coordinates and record the resulting points. The pre-image point \(U\) is \((-3,\,-1)\)
Record the image point \(U'\)