-> 6. (10 points) Let T: R2 R2 be the counterclockwise 60° rotation around the origin. If it's helpful, you may use the following facts without proving them: cos(60°) = 1/2, sin(60°)=√3/2, and: 1/2 T() A for all ER², with A= √3/2 √3/2] 1/2 (a) Let B={2,1}. Find the B-matrix of T. Explain using a couple sentences or a few equations. (b) Find a basis B of R2 such that the 3-matrix of T is the matrix There is no need to explain how you found your answer, but you do need to show that your answer works. Remember the order in which basis vectors are listed matters for these types of questions. 3