3. Choose two different angles #; and 6, in radians. You will consider two transformations, T; and T5 below and form the composition of those two transformations that is, given transformations 7 and 715, you need to compute 17 o 75 and 75 o T1. Note that you need to first determine the standard matrix corresponding to the considered composition. Consider the pairs of transformations below. Find a case where T} o T(7)) and T3 o T' () are the same and another case where T} o T() and T3 o T} (?) are different. Provide plots in both cases and explain using words why you see this result. (a) Composition of T} as a rotation through angle 6; and T5 as a rotation through angle 6s. (b) Composition of T} as a rotation through angle #; and T5 as a reflection across the z axis. (c) Composition of 77 as a reflection across the line y = x and T as a reflection across the T axis. (d) Composition of 7} as a horizontal shear by amount of 2 and 75 as a vertical shear by amount of 2