Compute both compositions F G and G F of the following affine functions on R2.
Question:
(a) F = counterclockwise rotation around the origin by 45°; G = translation in the y direction by 3 units.
(b) F = counterclockwise rotation around the point (1, 1)T by 30°; G = counterclockwise rotation around the point (-2, l)T by 90°.
(c) F = reflection through the line y = x + 1; G = rotation around (1, 1)T by 180°.
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a is counterclockwise rotation around the point by 45 o is counterclockwise ...View the full answer
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