You notice that there are three pieces of space debris near the satellite. You wonder if they are rotating uniformly around the satellite. You make measurements of the location of each piece of space debris at time 0 and again at time 1. The locations are related to your student number in a similar fashion to Assignment 1. If your student number is abcdefgh, then at time 0, the first debris is at position (cd, ef, gh) + (10, 10, 10), the second is at position (cd, ef, gh) + (5, 10, 15), and the third at position (cd, ef, gh) + (20, 20, 20). At time 1, the first debris is at (100, 100, 100) - (cd, ef, gh), the second at (105, 110, 100) - (cd, ef, gh) and the third at (110, 105, 120) - (cd, ef, gh). 6. With the help of Matlab (or otherwise), determine B, the matrix representing the linear transformation taking the positions of each piece of debris at time 0 to their positions at time 1. [2 marks] 7. Does B represent a rotation? Justify your answer. Hint: you may want to look up and use some properties of rotation matrices, perhaps even ones you have just discovered! [2 marks]