Math 230, Fall 09 homework assignments
Rules:
- You may work on the assignment with other people, but the solutions
must be written individually. You are not allowed to copy work of other
people or solutions that you found by other means
(in a book, on the internet, etc).
You may use ideas you have learned from others, but you should
acknowledge the source.
- Solutions must be written in good English. To assure
full credit, your reasoning must be correct, presented in a clear way,
illustrated if necessary, and written or typed neatly.
Week 1 (Aug 31 – Sep 4)
- Read chapter 1 (1.1 – 1.3)
- Use the method presented in the lecture to solve one of
your 3 examples of a linear system. Is the system consistent? Does it have
a unique solution? Infinitely many solutions?
- Sec. 1.1: 3, 5, 23, 24
Week 2 (Sep 7 – 11)
- Read 1.3 – 1.5
- Sec 1.2: 1, 2, 3, 4, 7 – 10 (choose one), 13 &ndash 14
- Sec 1.3: 5 – 6, 9 – 10, 13 &ndash 14, 17, 19, 27
- Sec 1.4: 5 – 8, 11 – 12
Week 3 (Sep 14 – 18)
- Read 1.5 – 1.7
- Sec 1.4: 17 – 20, 23 – 24 (keep redoing until you get
them 100% right)
- Sec 1.5: 7, 12, 13, 18, 23 – 24 (keep redoing until you get
them 100% right)
- Sec 1.6: 5, 6, 11
- Sec 1.7: 2, 3, 9, 10
Week 4 (Sep 21 – 25)
- Read 1.8 – 1.10
- Sec 1.8: 3, 5, 10, 19, 21 (keep redoing until you get
it 100% right), 31
- Sec 1.9: 4, 8, 12, 23 (keep redoing until you get
it 100% right)
- Sec 1.10: 9, 12
- Review Chapter 1. Do supplementary exercise 1 (p. 102), keep redoing
it until you get it 100% right.
Week 5 (Sep 28 – Oct 2)
Week 6 (Oct 5 – Oct 9)
- Read 1.9 (one-to-one and onto mappings), 2.1, 2.2
- Sec 1.9: 17 – 20, 25, 27, 31, 32, 34, 35
- Sec 2.1: 2, 4, 5, 9, 12, 15 – 16 (keep redoing until you get
them 100% right), 22
Week 7 (Oct 12 – Oct 16)
- Read 2.2, 2.3, 2.8
- Sec 2.2: 3, 6, 9, 10, 14, 18, 21, 29 – 32, 33, 35
- Sec 2.3: 1 – 5, 8, 11, 12, 15, 17, 20, 21, 22, 23, 24
Week 8 (Oct 19 – Oct 23)
- Catch up with last week's assignment
- Read 2.8, 2.9
- Sec 2.8: 1 – 4, 5, 7, 9, 17 – 18, 21, 22, 23 – 24,
28
Week 9 (Oct 26 – Oct 30)
Week 10 (Nov 2 – Nov 6)
- Read 3.1
- Sec 2.9: 1 – 6, 9 – 10, 13, 15, 17 – 18
Week 11 (Nov 9 – Nov 13)
- Review Chapter 2. Do supplementary exercises 1 – 10, 15, 16,
p. 183 (do not turn them in)
- An m × n matrix A has rank 1. Show that A is non-zero and that
its columns are proportional to a non-zero vector v in Rm.
- An n × n matrix A is non-invertible. Explain why there is a
non-zero vector v in Rn such that Av = 0.
- Read 3.2, 3.3
- Sec 3.1: 1 – 2, 9 – 10, 19 – 22
- Sec 3.2: 1 – 4, 5 – 8, 12, 16, 18, 19, 24, 27 – 28,
31 – 34, 40
Week 14 (Nov 30 – Dec 4)
- Review Chapter 3, do supplementary exercises 1 – 12
- Practice problems for 3.3: 1 – 6 (Cramer's Rule); 11 – 16
(inverse matrix); 19 – 24 (area of a parallelogram and volume of a
parallelepiped)
- Read 5.1 – 5.3
Week 15 (Dec 7 – Dec 11)
- Sec 5.1: 13, 15, 23, 26
- Sec 5.2: 4 – 8
- Sec 5.3: 7, 9, 10, 11, 21 – 22