\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A linear transformation maps square \(ABCD\) onto square \(A'B'C'D'\).
  1. Identify the transformation.
  2. Write down the transformation equation in the form \(\mathbf{x}' = \mathbf{A}\mathbf{x}\).

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