I. Linear Algebra, by S.J. Leon
Section 1.1 p.11 # 1c, 2d, 4d, 5c, 6bfh, 9
Section 1.2 p.25 # 1, 2, 3bdf, 5bdi, 6c, 8, 11, 13, 17
Section 1.3 p.37 # 1bceh, 2, 7b, 10, 13, 14b, 18, 25, 32, 33
Section 1.4 p.47 # 1, 3ac, 4b, 6, 7, 8ad, 10dfh, 12c, 16, 22
Section 2.1 p.55 # 1, 3adeh, 4, 5, 11
Section 2.2 p.71 # 1, 3adf, 4, 5, 7c, 13, 16
Section 3.1 p. 79 # 6, 8, 9, 10, 12, 13
Section 3.2 p.90 # 1ad, 2c, 3abeg, 4cd, 5acd, 6ade, 9bce, 10bde, 12, 19
Section 3.3 p.116 # 1ad, 2bde, 4b, 5, 6bc, 7b, 11, 17
Section 3.4 p.126 # 1ad, 2bde, 3, 5, 8, 10, 15
Section 3.5 p.132 # 1ab, 2ab, 5, 6, 8, 9
Section 3.6 p.173 # 1ab, 2a, 4cd, 6, 7, 8, 13, 19
Section 4.1 p.180 # 1, 3, 4, 5cd, 6b, 7cd, 8a, 9a, 11c, 17, 19ab
Section 4.2 p.190 # 1ae, 2c, 3b, 4b, 5, 7, 10 ,14
Section 4.3 p. 199 # 1ae, 2, 4, 5, 7, 12a, 15
II. Contemporary Abstract Algebra, by J.A. Gallian
[Review Problems:
Sheet 1 , Sheet 2 on Sets: 3, 4a, 11a
Sheet 1 , Sheet 2 on Integers: # 1c, 6, 9ae, 11, 16, 23, 24, 31d
Sheet 1 , Sheet 2 on Complex Numbers: # 1a, 2abce, 3e, 10ade, 12c, 14cd, 18
Sheet 3 on Complex Numbers: do all
Sheet 1 , Sheet 2 on Mappings:
# 1abeg, 2cg, 3a, 7a, 10 (hint: use #3)
Chapter 0 p.23 # 2, 3, 8, 11, 15, 22, 48, 49 ]
Chapter 2 p.53 # 6, 8, 10, 12, 18, 20, 24, 26, 28, 34
Chapter 1 p.37 # 2, 3, 6, 10, 12, 14 (Note: A rhombus is a parallelogram with 4 equal sides.)
Chapter 3 p.67 # 2, 4, 6, 8, 10, 12, 20, 27, 28, 34, 46
Chapter 4 p.82 # 2, 4, 8, 10, 29, 30, 46, 48, 52, 60, 62
Chapter 5 p.112 # 4, 6, 8, 16, 18, 22, 24, 26, 32, 34, 36, 46
Chapter 6 p.132 # 2, 4, 10, 14, 16, 22, 24, 26
Chapter 7 p.148 # 2, 4, 6, 8, 12, 14, 22, 24, 34
[Extra Problems: 1) Compute the remainder of 6^214 divides by 13.
2) Determine whether 3^14234 - 4 is divisible by 11.
3) Compute the remainder of 71^2000 divided by 24. ]
Chapter 8 p.165 # 6, 10, 26, 30, 34, 46, 50, 54