Section 7.3

1.
1. (a) F
2. (b) T
3. (c) F
4. (d) F
5. (e) T
6. (f) F
7. (g) F
8. (h) T
9. (i) T
2.
1. (a) $(t - 1) (t - 3)$ $(t - 1) (t - 3)$
2. (c) ${(t - 1)}^{2} (t - 2)$ ${(t - 1)}^{2} (t - 2)$
3. (d) ${(t - 2)}^{2}$ ${(t - 2)}^{2}$
3.
1. (a) $t^{2} - 2$ $t^{2} - 2$
2. (c) ${(t - 2)}^{2}$ ${(t - 2)}^{2}$
3. (d) $(t - 1) (t + 1)$ $(t - 1) (t + 1)$
4. For (2), (a); for (3), (a) and (d)
5. The operators are $T_{0}, I,$ $T_{0}, I,$ and all operators having both 0 and 1 as eigenvalues.

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Table of Contents for Section 7.3