Let $\displaystyle T$ be the rotation in the plane $\displaystyle \mathbb{R}^2$ through angle $\displaystyle \frac{\pi}{3}$ in the anti-clockwise direction. Find the matrix which represents the linear transformation $\displaystyle T$.

Not too sure how to start this question off. The only thing I can think of doing for this is to use complex numbers.

If someone could give me a clue on how to start off this question and I'll try and do it myself.