\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(T_1\) be a reflection in the line \(y=x\) and \(T_2\) be a reflection in the x-axis.
  1. Find the matrix \(\mathbf{A}\) for \(T_1\) and \(\mathbf{B}\) for \(T_2\).
  2. Calculate the matrix for the composite transformation \(T_2 \circ T_1\) (\(T_1\) followed by \(T_2\)).
  3. Identify the resulting transformation.

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