1. (1.1). p. 11. (Systems of linear equations), # 6 (e), (f), (g).

2. (1.2). p. 28. (Row echelon form), # 5 (j), (k), (l); # 8, 9.

3. (1.3). p. 63. (Matrix Algebra), # 4 (b), (c); #11, 17.

4. (1.4). p. 76. (Elementary matrices), # 8 (a), (b); # 9 (f), (g).

5. (2.1). p. 105. (The determinant of a matrix), #3 (g), (h); #6, #10.

6. (2.2). p. 113. (Properties of determinants) #4, 6, 13, 14.

7. (2.3). p. 119. (Cramer's rule), #2 (d), (e); #7, 8, 14.

Quiz 1, Thursday, September 12. Sections TBA

8. (3.1). p. 133. (Vector spaces: Definition and examples), # 15, 16.

9. (3.2). p. 142. (Subspaces), #3, 4, 5, 8,10, 15, 18.

10. (3.3). p. 154. (Linear independence), # 2 (b), (d), (e); # 4 (c); # 6 (b), (d); # 11, 13, 16, 17.

Examination I: Thursday, October 3. Sections 1.1-1.5, 2.1-2.3, 3.1-3.4

11. (3.4). p. 161. (Basis and Dimension), # 4, 7, 10, 13.

12. (3.5). p. 173. (Change of basis), #5, 7, 9.

13. (3.6). p. 180. (Row space and column space), # 1, 2, 6, 8, 16, 22, 26.

14. (4.1). p. 196. (Definition and examples), # 4, 6, 11, 12, 18, 20, 23.

15. (4.2). p. 208. (Matrix representations ...), # 2, 5, 6, 11, 14, 15.

16. (4.3). p. 217. (Similarity), #2, 4, 5, 7, 15.

Quiz 2: October 24. Sections 3.4-3.6, 4.1-4.3.

17. (5.1). p. 237. (The scalar product in n-space), # 2, 4, 7, 8, 10, 15.

18. (5.2). p. 247. (Orthogonal subspaces), #1 (c), (d), 5, 6, 13, 15, 16.

Examination II: Thursday, November 14. Sections 3.5,3.6, 4.1-4.3, 5.1-5.3.

19. (5.3). p. 258. (Least squares problems), #1 (c), 5 (a), 8, 9, 13.

20. (5.4). p. 267. (Inner product spaces), # 7, 8, 9, 17, 23, 29.

21. (5.5). p. 286. (Orthogonal sets), # 9, 11, 13, 19, 24, 25, 29.

22. (6.1). p.323. (Eigenvalues and eigenvectors), #1(e), (j), 2, 18, 20.

23. (6.2). p. 336. (Systems of linear differential equations), #1 (d),(f), 2 (c), (d), 5 (b), 6.

24. (6.3) (Diagonalization)

25. (6.4) (Hermitian matrices)

Final Examination: December 12, 1200-1400. GC 277.