a) Find the 3 x 3 matrix Y that describes a rotation by 30° about the y-axis in 3-dimensional space. b) Find the 3 x 3 matrix X that describes a rotation by 45° about the z-axis in 3-dimensional space. c) Compute the products YX and XY. Draw sequences of pictures of cubes to visualize both rotations (imitate what we did for 90° rotations in the lecture: draw the cube in original position, then after having applied the first rotation, and in final position after the second rotation.)

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