Notice that <1, 0> is mapped into <1/5, 2/5> and <0, 1> is mapped into <2/5, 4/5>= 2<1/5, 2/5>. That is, both axes are mapped into the single line y= 2x. What does that tell you?

Then graph it again! Actually, since the rotation matrix for a rotation of counterclockwise is , that is a rotation of -60 degrees, not 60 degrees.b)

I thought that b was a straightforward rotation using the rotation matrix :

where the angle is 60 degrees, but when i graphed the unit square under this transformation it doesnt look like a simple rotation.

Part a i am totally stuck on.