Let T: R^{2} \rightarrow R^{2} be defined by T(v) = Av, where A is the (2 × 2) matrix
A=\left[\begin{array}{cc}1 / 2 & \sqrt{3} / 2 \\\sqrt{3} / 2 & -1 / 2\end{array}\right].
Give a geometric interpretation of T.
Let T: R^{2} \rightarrow R^{2} be defined by T(v) = Av, where A is the (2 × 2) matrix
A=\left[\begin{array}{cc}1 / 2 & \sqrt{3} / 2 \\\sqrt{3} / 2 & -1 / 2\end{array}\right].
Give a geometric interpretation of T.