True or false? (a) The L2 eigenvalues are degenerate except for l = 0. (b) Since L2Ylm

Question:

True or false? (a) The L2 eigenvalues are degenerate except for l = 0. (b) Since L2Ylm = l(l + 1)h2Ylm, it follows that L2 = l(l + 1)h2. (c) L2 commutes with Lx. (d) Y00 is a constant. (e) Y00 is an eigenfunction of L2, Lx, Ly, and Lz. (f) If A and B do not commute, it is impossible for an eigenfunction of A to be also an eigenfunction of B.