Given T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 represented by A=(0110)A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}A=(0110), what is the geometric interpretation?
Rotation by 90 degrees
Reflection across the line y=xy=xy=x
Projection onto the x-axis
Scaling by 2