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Transformationshard
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A transformation T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 is defined by T(v)=Mv+bT(\mathbf{v}) = M\mathbf{v} + \mathbf{b}T(v)=Mv+b where M=(cos⁡(60∘)−sin⁡(60∘)sin⁡(60∘)cos⁡(60∘))M = \begin{pmatrix} \cos(60^\circ) & -\sin(60^\circ) \\ \sin(60^\circ) & \cos(60^\circ) \end{pmatrix}M=(cos(60∘)sin(60∘)​−sin(60∘)cos(60∘)​) and b=(23)\mathbf{b} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}b=(23​). Which of the following describes the nature of this transformation?