-- For problem 2, from Griffiths p. 441: "If you know what a particular linear transformation does to a set of basis vectors, you can easily figure out what it does to any vector." The trick is to work out how you would like a transformation to act on the basis vectors. You'll find (and you might check) that your result works for an arbitrary vector.

-- For problem 3: Based on what Griffiths has told you, you can work on the first two parts of the problem. As Donaldo pointed out to me in the reading questions, Griffiths and I haven't told you enough to understand equation A.75, which is important for the third part (the part about eigenvectors of L_x). Take a stab by guess-and-check, or we'll talk about it in class Friday.

Wow, great post.

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