## Linear Algebra (Math 232B, Fall 2005)

#### Books on Proofs

The books below are in the spirit of the recommended text "Nuts and Bolts of Proof." If you find that book helpful, you might consider ordering one or more of these from someplace like Amazon.com or Barnes & Noble (these texts are listed in order of my familiarity with them, which may not be the same order I would recommend them in).

#### Old Quizzes

These quizzes are offered with no guarantees. Notation, techniques, and emphases will vary (sometimes radically) from semester to semester. Use at your own risk.

Fall 2003:
[Quiz 1]  [Quiz 2]  [Quiz 3]  [Quiz 4]  [Quiz 5]  [Quiz 6]

Fall 2004 (with solutions):
[Quiz SLE]  [Quiz V]  [Quiz M]  [Quiz VS]  [Quiz D&E]  [Quiz LT]  [Quiz R]

Spring 2005 (with solutions):
[Quiz SLE]  [Quiz V]  [Quiz M]  [Quiz VS]  [Quiz D&E]  [Quiz LT]  [Quiz R]

#### Homework Exercises

These are suggested exercises from Johnson/Riess/Arnold, 4th Edition.  Generally, the same problems have the same numbers in the 5th Edition.  Where this is not the case, a slash precedes the number for the 5th Edition.  Also, for the 5th Edition increase the chapter number by 1 for each problem from all but Chapter 1 of the 4th Edition.  So, for example, 2.4.34/36 would be 2.4.34 in the 4th Edition and 3.4.36 in the 5th Edition.  Is that clear?

Section
Computational
Theoretical
WILA
1.1.1, 1.1.2, 1.1.11, 1.1.14, 1.1.42

SSSLE
1.1.8, 1.2.49, 1.2.50, 1.2.53
1.1.38/39
RREF
1.1.27, 1.1.31, 1.1.34, 1.2.3, 1.2, 5, 1.2.8, 1.2.13, 1.2.15, 1.2.17, 1.2.21, 1.2.23, 1.2.27, 1.2.29, 1.2.31, 1.2.47

TSS
1.2.38, 1.3.1, 1.3.3, 1.3.5, 1.3.6

HSE
1.3.7-19 odd, 1.3.21, 2.3.25

NSM
1.7.16, 1.7.17, 1.7.18, 1.7.21, 1.7.22, 1.7.24
2.3.51
VO
1.5.7, 1.5.15

LC

SS
1.5.45, 2.3.15, 2.3.17, 2.3.19, 2.3.21

LI
1.7.1-13 odd, 1.7.30, 1.7.41, 1.7.43, 2.4.1, 2.4.3, 2.4.7, 2.4.9, 2.4.27, 2.4.33
1.7.49/51
MO
1.5.1, 1.5.3
1.6.44, 1.6.47
RM
2.3.27-35 odd, 2.3.39, 2.3.41, 2.3.47, 2.4.19
2.3.50, 2.3.52
RSM
2.4.11, 2.4.13, 2.4.23

MM
1.5.11, 1.5.23, 1.5.31, 1.5.33-35, 1.5.40, 1.5.55, 1.5.63, 1.6.1, 1.6.3, 1.6.5, 1.6.17, 1.6.26, 1.6.27, 1.6.30-32, 4.3.28, 4.3.29
1.5.59, 1.5.60, 1.5.67, 1.7.47/49, 1.7.50/52, 1.7.51/53, 2.3.51
MISLE
1.9.3, 1.9.7, 1.9.19, 1.9.23, 1.9.29/31, 1.9.37/39, 1.9.39/41
1.9.52/54, 19.53/55, 1.9.54/56
MINSM
3.7.15, 3.7.17, 3.7.30
1.9.66/68
O
1.6.21, 2.6.3, 2.6.5, 2.6.9, 2.6.12, 2.6.13
1.6.46, 1.9.56/58, 2.6.22, 2.6.25, 2.6.28
VS
2.2.27, 4.2.1, 4.2.2, 4.2.3, 4.2.5, 4.2.9, 4.2.11, 4.2.13, 4.2.15, 4.2.18, 4.2.19

S
2.2.3, 2.2.5, 2.2.7, 2.2.15, 2.2.17, 4.3.1, 4.3.3, 4.3.5, 4.3.7, 4.3.9, 4.3.13, 4.3.17, 4.3.19, 4.3.23
2.2.18, 2.2.21, 2.2.30, 2.2.31, 2.2.32, 4.3.30, 4.5.2
B
4.3.27, 4.3.32, 4.4.1, 4.4.3, 4.4.5, 4.4.7, 4.4.14, 4.4.15, 4.4.17, 4.4.19, 4.4.21, 4.4.24
4.4.32, 4.4.36, 4.4.37, 4.4.38, 2.5.31
D
2.5.17, 2.5.23, 2.5.25, 2.5.27, 2.5.29, 4.5.1, 4.5.4, 4.5.5, 4.5.7
2.5.38, 2.5.40, 4.5.17
PD
2.5.7, 2.5.8, 2.5.9, 4.5.9, 4.5.11, 4.5.13
2.5.30, 2.5.32, 2.5.36
DM
3.2.1-3.2.4, 3.2.7, 3.2.9, 3.2.11, 3.2.17, 3.2.18, 3.2.19
3.2.23, 3.2.24, 3.2.33, 3.2.34
EE
3.1.3, 3.1.5, 3.1.7, 3.1.9, 3.1.15, 3.4.3, 3.4.5, 3.4.7, 3.4.9, 3.4.13, 3.4.21, 3.5.3, 3.5.5, 3.5.7, 3.5.9, 3.5.13, 3.5.17, 3.6.21, 3.6.23, 3.6.33 3.1.17, 3.1.19
PEE
3.5.19
3.4.25, 3.4.30, 3.5.21, 3.5.22, 3.5.23, 3.5.24, 3.5.25, 3.5.28, 3.5.29, 3.6.36, 3.6.37, 3.6.41
SD
3.5.3, 3.5.5, 3.5.7
3.5.25, 3.5.26, 3.5.27, 3.5.29, 3.5.43
LT
2.7.1, 2.7.2, 2.7.5, 2.7.7, 2.7.11, 2.7.13, 2.7.15, 2.7.17, 2.7.19, 4.7.5, 4.7.7, 4.7.9, 4.8.1-4.8.4
2.7.33, 2.7.38
ILT
2.7.3
4.7.20, 4.7.26
SLT

4.7.22
ILT/SLT
2.7.29, 4.7.13, 4.7.16, 4.7.17, 4.8.5, 4.8.6
4.7.18, 4.7.19, 4.7.21
IVLT
4.8.7, 4.8.9, 4.8.11
4.8.18-28
VR

4.5.18
MR
4.9.1-10, 4.9-13, 4.9.14-16, 4.9.19
4.9.28, 4.9.30
CB
4.10.1, 4.10.3, 4.10.6, 4.10.9, 4.10.10, 4.10.11, 4.10.15, 4.10.16 4.10.17, , 4.10.18, 4.10.19, 4.10.20

#### Homework Exercises

These are suggested exercises from Jim Hefferon's free linear algebra text, Linear Algebra.

Section
Section
Computational
Theoretical
WILA

SSSLE

RREF

TSS

HSE

NSM

VO

LC

SS
2.I.2
2.22a
2.39, 2.41
LI
2.II.1
1.18
1.24, 1.25, 1.26, 1.33, 1.38
MO
3.IV.1
1.7
1.9, 1.13, 1.15a
RM

RSM

MM

MISLE

MINSM

VS

S
2.I.2
2.20, 2.21, 2.25, 2.26, 2.35

B
2.III.1
1.16-1.24, 1.28, 1.32, 1.34
1.27, 1.30, 1.31, 1.33
D

PD
2.III.2
Any (2.14-2.34)

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Maintained by: Rob Beezer
Last updated: August 16, 2005