Suppose R is a 2 2 rotation matrix. In other words RTR = I and det...

   

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Suppose R is a 2 2 rotation matrix. In other words RTR = I and det (R) = 1. Is true that there is only one such that R is of the form COS R(0) = sin - sin 0 To]. cos Explain mathematically. Suppose R is a 2 2 rotation matrix. In other words RTR = I and det (R) = 1. Is true that there is only one such that R is of the form COS R(0) = sin - sin 0 To]. cos Explain mathematically.