Question: 3. (Transformations, 12pt ). (using only matlab) We will be working with the pointset P of gridpoints from the slides (containing points (1,1),,(5,5). a) [4pt]
3. (Transformations, 12pt ). (using only matlab) We will be working with the pointset P of gridpoints from the slides (containing points (1,1),,(5,5). a) [4pt] Create a transformation matrix T1 that rotates the points counterclockwise around the origin by 136 degrees. Show P and the result of applying the transformation T1 to P (remember that you have to transpose P to apply the transformation, and then you need to transpose the result again, to scatter plot the points; the slides contain an example). b) [4pt] Create a transformation matrix T2 that mirrors the points along the x-axis, Show P and the result of applying the transformation T2 to P. c) [4pt] Do transformations T1 and T2 commute? That is, is applying T1 first, and then T2 the same as applying T2 first, and then T1? Guess first, then double-check with P, and including the results of both series of transformations
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