Math 309,
Matrix Algebra Announcements, Weekly Reading and Homework Fall 2012
Course Announcements
Please check the course exam schedule so you can plan to avoid conflicts.
FINAL EXAM Tuesday, December 18 3:30 - 5:30 p.m. in Lab Sciences 300 (room where the previous 309 exams were held this semester)
Office hours prior to final
Monday, 12/10: as usual, 3-4:30
Tuesday, 12/11: as usual, 3-4:30
Wednesday, 12/12: 3-4:30
Thursday, 12/13: 2:30-4:30
Friday,
12/14: 2:30 - 4:30
Monday,
12/17: 2:30-4:30 Old final exam for practice
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Problems assigned are from the current edition (4th) of the
textbook; the exercises are generally not the same as in earlier editions. If
you are using an earlier edition, be sure to get the
correct problems out of the current edition of the textbook.
Written HW Assignments may be modified up until 5 p.m. Tuesday in the week that they are due.
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Weekly Reading & Events
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WebWorK Assignments | Written Homework
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Recommended (not to hand in)
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Supplements & Solutions
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Week of August 26
Be sure to read How to Study Linear Algebra at this link OR in your Study Guide.
Read Note to Students (preceding Chapter 1) in text
Read the Introductory Example (about Leontief) at the start of Chapter 1.
Read Sec 1.1-1.2 and 1.6; start on 1.3 (this will put you just a bit ahead of the lectures) | WebWorK WW 1 opens on the first day of class and is due online by 11:59 p.m. on Tuesday, 9/4.
See WebWork for more details
Contact me right away if your name does not appear in WebWork; include your name, WU ID number and email address and I will add you oGood luck in your search.nto WebWork's list
| There are hand-in HW problems you
can get started on now. They are listed below as part of HW 1 (not due until Fri., 9/7)
See Homework for guidelines about written solutions
| At the end of each section, try the Practice Problems before starting the homework: for example, on p. 9 for Sec. 1.1
Almost every section in the text contains some "true/false" questions. ThesSec. 5.1: 16, 24, 27, 32, 35
Sec. 5.2: 10,16, 18
Sec 5.3: 6, 16, 18, 24, 26
Sec 5.4: 4,8,10, 16, 18, 20e are an excellent way to check your understandin231168g. For example, 23-24 in Sec. 1.1
Sec 1.1: 5, 7, 19, 23, 24, 25, 31
| PDF for Lecture 1
PDF for Lecture 2
PDF for Lecture 2 | | WebWorK | Written Homework Hand
In | Recommended (not to hand in) |
| Week of September 2 Monday, September 3: Labor Day: no class
HW 2: Due in class Friday, September 14
Sec. 1.4 Read Sec. 1.5 Read Sec. 1.6
Start reading Sec 1.7 (this will put you just a bit ahead of the lectures) | WebWork Assignment WW1 due online by 11:59 p.m. Tuesday, 9/4.
WW2 opens 12:01 a.m. Wed. 9/ 5 | HW1 due in class Friday, Sept. 7
Always include enough detail in every homework solution so the reader can understand how you got your answer.
Sec 1.1: 16, 22, 26, 33, 34
Sec 1.2: 4, 12,16,26,28,30 (refer back to 29 for teminology)
Sec 1.6: 6,12
Solutions for HW1
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Sec 1.2: 7, 13, 19, 21, 22, 25, 31
| PDF for Lecture 3
Some online tools that might be helpful for "small matrix" HW type problems (find others via Google, or pick the one you like):
Row Reducer
Row Echelon Form
Online Row Reducer
Be sure you can do row reductions by hand for small matrices--e.g., for exams.
_________________
PDF for Lecture 4
Notes on a closed exchange economy: Section 1.6; and here's a link to an author-provided example on the same material. Read
the introductory example about Leontief at the start of Chapter 1 if
you haven't done so already! Leontief's original article is in
Scientific American, April 1965.
| | WebWorK | Hand
In | Recommended (not to hand in) |
| Week of September 9
Finish reading Sections 1.5, 1.6 if you haven't already.
Read Section 1.7 and 1.8
Note that Wednesday 9/12 is the last date to add or drop the course. | WebWork Assignment WW2 due online by 11:59 p.m. Tuesday, 9/18
| HW 2 due in class Friday, Sept. 14
Always include enough detail in every homework solution so the reader can understand how you got your answer.
Sec 1.3: 10,11,14, 20, 22
Sec 1.4: 8,10,18, 22, 30,36
Sec. 1.5: 10,16, 20, 30, 34, 40
Solutions for HW2
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Sec. 1.3: 7,23,24, 25,32
Sec. 1.4: 13, 17, 23, 24
Sec. 1.5: 23, 24, 29, 31. 36 | PDF for Lecture 5
PDF for Lecture 6
PDF for Lecture 7
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| WebWorK | Hand
In | Recommended (not to hand in) |
| Week of September 16
Read Sections 1.8 and 1.9.
In Section 1.10, read the examples about the "Weight Loss Diet" and "Difference Equations."
In 1.10, you can skip the example on Electrical Networks -- although engineers and physicists might like to read it.
| Assignment WW2 (postponed) now due online by 11:59 p.m. Tuesday, 9/18
WW3 now open (a bit early); but still not due until next Tuesday, as usual | HW 3 due in class Friday, Sept. 21
Always include enough detail in every homework solution so the reader can understand how you got your answer.
Sec. 1.7: 18,24, 26,32,36,38 (more computational practice with Sec 1.7 is in WebWork 3)
Sec. 1.8: 14,18,32
Sec 1.9: 4,6,8, 14,16
Solutions for HW3 |
Sec. 1.7: 21,22,29, 30, 33-35,37
Sec. 1.8: 13,15,19,21 22,32
Sec 1.9: 13, 23, 34 | PDF for Lecture 8
PDF for Lecture 9
PDF for Lecture 10 (chart tying together equivalents to "onto" and "1-1" for linear mappings)
Example: A Linear Difference Equation | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of September 23
Read Introductory Example for Chapter 2 (Aircraft Design)
Read Sections 2.1 - 2.2
Start reading Section 2.3 | WW3 due online by 11:59 p.m. Tuesday, 9/25
WW4 opens at 12:01 a.m. on Wednesday, 9/26 | HW 4 due in class Friday, Sept. 28
Sec. 1.9: 26, 27
Sec. 1.10: 9
Supplementary Exercises on p. 90: 22
Sec. 2.1: 6, 10, 20, 24, 26,34
Sec 2.2: 2, 8, 14, 16, 18
Solutions for HW4
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Sec. 2.1: 15, 16
Sec. 2.2: 7,9,10,13 | PDF for Lecture 11
PDF for Lecture 12
PDF for Lecture 13
Extra material about EROs and elementary matrices
| | WebWorK | Hand
In | Recommended (not to hand in) | | Week of September 30
Read Section 2.3
Read Section 2.4
Read Section 2.5 (you can skip the example from electrical engineering unless it interests you) | WW 4 due on Tuesday, 10/2 at 11:59 p.m.
WW5 opens on Wednesday, Oct 3, at 12:01 a.m.
Because of Exam 1 next
week on Wednesday 10/10, WW5 will not be due until Tuesday, October 16.
But, since it covers 2 weeks, WW5 will be longer: probably around
30 questions | HW 5 due in class on Friday, October 5
Sec. 2.2: 20, 23, 38 (answer these without jumping ahead in text: don't refer to the Invertible Matrix Theorem in Sec. 2.3)
Sec. 2.3: 8, 16, 20, 26, 34, 39
Sec. 2.4: 4, 8 (assume A and X are square), 10 (find P,Q,R means "in terms of A,B, and D")
Solutions for HW5 |
Sec, 2.3: 11, 12, 22, 33
Sec 2.4: 5, 7 | PDF for Lecture 14
Handout on the Invertible Matrix Theorem
PDF for Lecture 15
Supplementary material about LU Decompositions (distributed in class Friday)
PDF for Lecture 16
Discussion of Leontieff Open Economy Production Model (from class Friday) | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of October 7
Read Sections 2.6 and 3.1.
We skip 2.7 - 2.9. (The material in 2.8-2.9 is covered later in Chapter 4.) _________________
Wednesday, Oct.10, 7-9 p.m: EXAM 1 covering all material up through 2.5
Some information about Exam 1
Sample: Exam 1 from fall 2011 (see comments in preceding link!)
Exam 1 Solutions
| No WebWork due this week | HW 6 due in class on Friday, October 12
-- a little shorter because of the test on Wednesday.But
everyone should have done some of the Sec. 2.5
problems for practice before the exam.
Sec. 2.5: 2, 12 ,17, 24, 26 The occasional MATLAB comments are irrelevant to your solutions here. Only 2,12,17 are material that could be on Exam 1.
Sec. 2.6: 6
Sec. 3.1: 12, 18
Solutions for HW6
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Sec. 2.5: 3, 7, 21
Sec. 2.6: 5
Sec 3.1: 39, 40 | PDF for Lecture 17
PDF for Lecture 18
PDF for Lecture 19 | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of October 14 Read Sections 3.2, 3.3, 4.1, 4.2
In Sec 3.3, you can skip Cramer's Rule and material on pp. 178-179. Resume reading at "Determinants as Area or Volume."
Friday, October 19: NO CLASS (FALL BREAK) | WW 5 is due on Tueday, 10/16 at 11:59 pm.
WW6 will open at 12:01 am on Wednesday, 10/17
| No written HW due this week because of fall break.
This is the start of the HW 7 due in class on Friday, Oct 26.
Sec 3.2: 10, 26, 34, 35, 36, 40
Sec, 3.3: 18, 22, 23, 27, 32
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Sec 3.2: 27, 28, 30
Sec. 3.3: 30 | PDF for Lecture 20
PDF for Lecture 21
| | WebWorK | Hand
In | Recommended (not to hand in) | | Week of October 21
Finish reading 4.2 Read 4.3-4.4
| WW6 due on Tuesday, 10/23, by 11:59 pm.
WW7 will open at 12:01 am on Wednesday, 10/24 | HW 7 due in class on Friday, Oct 26.
(also includes problems above listed during week of October 14)
Sec. 4.1: 8, 12, 17, 28,
Sec. 4.2: 6,10, 14, 22, 24, 27, 28, 32, 34
Sec. 4.3: 6,8
Solutions for HW7
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Sec. 4.1: 23, 24,32
Sec. 4.2: 18, 20
Sec. 4.3: 3,7 | PDF for Lecture 22
PDF for Lecture 23
PDF for Lecture 24
Supplement on rotation of axes | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of October 28
Read the supplementary notes on rotation of axes (distributed/linked last Friday)
Read the supplementary notes diagonalization (distributed/linked on Monday)
Read Sec. 4.5-4.6
| WW7 due on Tuesday, 10/30, by 11:59 pm.
WW8
will open at 12:01 am on Wednesday, 10/31; not due until 11:59 pm
Tuesday, 11/13, because of exam next Wednesday. But most of the
problems are on material that could be on the exam. | HW 8 due in class on Friday, Nov. 2.
Sec. 4.3: 16, 20, 32
Sec. 4.4: 4, 6, 8, 12, 22, 28, 32
Also hand in solutions for
1. Extra problems on rotation of axes
2. Extra problems about diagonalization
Solutions for HW8 |
Sec. 4.3: 19, 21, 22, 31
Sec. 4.4: 15, 16, 17,19 | PDF for Lecture 25 is included within the supplementary notes on introduction to diagonalization
Lecture 26: Additional Diagonalization Example
Practice with dimensions
PDF for Lecture 27
| | WebWorK | Hand
In | Recommended (not to hand in) | | Week of November 4
Skip Sections 4.7-4.8 Read Section 4.9 (Markov Chains)
Read Sections 5.1, 5.2
Old Exam 2 from Fall 2011 (remember,last year this was an in class 1 hour exam)
Wednesday, Nov. 7, 7-9 p.m. EXAM 2
Exam 2 Solutions
| No WebWorK due this week | HW 9 due in class on Friday, Nov. 9 (a little shorter because of the test on Wednesday.But
everyone should have done some of the 4.5-4.6 problems for practice before the exam.
Sec. 4.5: 6, 14, 16, 22
Sec. 4.6: 4, 20, 22, 24
Solutions for HW9 | Sec. 4.5: 9, 19, 20, 29, 30
Sec. 4.6: 9, 17, 18 | PDF for Lecture 28
PDF for Lecture 29
PDF for Lecture 30 | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of November 11
Read Sec. 5.3, 5.4. Be sure also that you've read the introductory section (about spotted owls) for Chapter 5.
Friday, November 16: LAST DATE TO WITHDRAW FROM COURSE
Skip Sec 5.5
Read
5.6: you can skip the section on change of variables and complex
eigenvalues, but read final part about survival of the spotted owls, and also the
spotted owl handout)
Start reading Sec. 6.1 | WW 8 due on Tuesday, 11/13, by 11:59 p.m.
WW9 opens on Wednesday, 11/14 at 12:01 a.m.
2 comments on WW9 problems | HW 10 due in class on Friday, Nov. 16
Sec. 5.1: 16, 24, 27, 32, 35
Sec. 5.2: 10,16, 18
Sec 5.3: 6, 16, 18, 24, 26
Sec 5.4: 4,8,10, 16, 18, 20
Solutions for HW10
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Sec. 5.1: 21, 22, 25
Sec. 5.2: 21, 22
Sec 5.3: 21, 22
Sec 5.4: 13, 23 |
PDF for Lecture 32
Handout on Spotted Owls (Wednesday)
PDF for Lecture 33 | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of November 18
Wednesday/Friday November 21, 23: NO CLASS (THANKSGIVING)
| WebWork 10 is will open on Monday, 11/26, at 12:01 am. | | | | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of November 25
Read Sections 6.1 - 6.4
On
Monday, 11/19, we covered about half of Section 6.2. Please
review and be ready to pick up there in the lecture on Monday, 11/26. | WW 10 opens (a bit early) this week on Monday, 11/26, at 12:01 am and will be due by 11:59 p.m. on Tuesday, Dec. 4. | HW 11 due in class on Friday, November 30.
Sec. 6.1: 24, 26 ,31
Sec. 6.2: 8,10, 14, 26, 28
Sec 6.3: 6,12,14
Solutions for HW11 |
Sec 6.1: 19, 20
Sec 6.2: 23, 24, 27
Sec 6.3: 19 | PDF for Lecture 35
Extra Notes for 2x2 Orthogonal Matrices
For Lecture 36:
Images for Lecture 36
Examples related to Orthogonal Decompostition
PDF for Lecture 37 | | WebWorK | Hand
In | Recommended (not to hand in) | | Week of December 2
Finish reading Section 6.4 (you 're not responsible for the subsection on QR factorization)
Read Sec. 6.5 (you can skip Theorem 15.)
Read Sec. 6.6
Friday, December 7 Last day of class | WW 10 is due by 11:59 pm on Tuesday, Dec. 4.
There are no further required WW assignments. However there will be a a WW practice problem set on the material in Sec. 6.5-6 in case you want it for practice. | HW 12 due in class on Friday, Dec. 7
Sec. 6.4: 6, 12, 20
Sec. 6.5: 4, 12, 14, 24, 25
Sec. 6.6: 4, 6, 8 (part a only), 10 (part a only)
Solutions for HW12 |
Sec. 6.4: 17
Sec. 6.5: 17
Sec. 6.6 3, 5 | Supplementary notes about inner product spaces
PDF for Lecture 38: Least Squares Examples
Handout for Lecture 39: least squares and simple linear regression
PDF Lecture 41 |
FINAL EXAM Tuesday, December 18 3:30 - 5:30 p.m. in Lab Sciences 300 (room where the previous 309 exams were held this semester)
Old final exam for practice |
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