Math 309,
Matrix Algebra Announcements, Weekly Reading and Homework Fall 2015
NOTE THAT THIS IS AN OLD SYLLABUS: FALL 2015
Course Announcements
Always include enough detail in every written homework solution so the reader can see how you got your answer.
The
problems assigned below for written HW each week may be modified up until 5
p.m. Tuesday in the week that they are due. Please (re)check the
assigned problems each week after that time.

Weekly Reading & Events

WebWorK Assignments  Written Homework (to hand in)

Recommended (not to hand in)

Supplements & Solutions

Week of 8/24/15
Lectures 13
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. 1.11.3, and 1.6;  WebWorK
WW 1 opens at 12:01 a.m. on Wednesday, 8/26. Your answers due online by 11:59 p.m. on Tuesday, 9/1.
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 into WebWorK's list.
 You
should get started quickly on the handin HW 1 problems. The HW1
set isn't due until Sept. 4m because I didn't want to collect HW on the
first Friday. But that means that HW1 will cover 2 weeks of work,
and therefore will be longer than usual,
The problems for HW1 are listed in the week of 8/31, below, because that's the week in which they're due.
See Homework for my guidelines about written solutions. The article Guidelines for Good Mathematical Writing might also be helpful now and in the future.
 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. T/F questions are an excellent way to check your understanding.For example, 2324 in Sec. 1.1
Sec 1.1: 5, 7, 11, 17, 19, 23, 24, 25, 31
Sec 1.2: 7, 13, 15, 19, 21, 23, 25, 31
 Whenever
you think you've spotted an error in one of these files, check with
with a few other students and then, if necessary, let me know so I can
repair if necessary.
PDFs for Lecture 1
PDFs for Lecture 2
PDFs for Lecture 3
One of the following might be useful for row operations
Row Reducer
Row Reducer App
Row Echelon Form
Wolfram Alpha
For those who use Matlab
  WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 8/31/15
Lectures 46 Read Sections 1.4, 1.5, and 1.7
 EXTENDED: WebWork Assignment WW1 due online by 11:59 p.m. WEDNESDAY, 9/2.
WW2 opens 12:01 a.m. Wed. 9/2
 HW1 due in class Friday, Sept. 4
More problems may be added to this assignment up until Tuesday Sept 1., at 8 p.m.
Always include enough detail so a grader can see how you got your answer.
Sec. 1.1: 16, 22, 28, 33, 34
Sec. 1.2: 14, 16, 23, 24, 26, 28, 29, 30
Sec 1.3: 10, 12, 14, 20, 22, 26
Sec 1.6: 6, 12 (note that the figure is at the end of problem 12)
Sec. 1.4: 18, 26, 28, 34
Solutions for HW1
 Sec 1.3: 7, 17, 19, 23, 24, 25, 31 (see 29 fpor teminology),32
Sec 1,4: 13, 17, 23, 24, 29
Sec 1.5: 23, 24, 29, 31, 34
Sec 1.6: 11 (There is an error in the picture in the textbook: flow should be 80 into node C.)
 PDFs for Lecture 4
Supplement: Chemical Reaction from Two Points of View
Supplement: Economics: a simple closed economy
PDFs for Lecture 5
PDFs for Lecture 6   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 9/7/15
Monday, Sept. 7 LABOR DAY NO CLASS Lectures 78
Read Sections 1.7, 1.8
 WebWork Assignment WW2 due online by 11:59 p.m.Tuesday, 9/8
WW 3 will open at 12:01 a.m. on Wednesday, 9/9  HW2 due in class Friday, Sept. 11
Sec. 1.4: 32,36
Sec. 1.5: 8. 12, 18, 22, 30, 34, 36
Sec. 1.7: 2, 10, 16, 18, 20, 24
More problems may be added to this assignment up until Tuesday at 8 p.m.
Solutions for HW2  Sec. 1.5: 23, 24
Sec. 1.7: 3, 11, 21, 22  PDFs for Lecture 7
PDFs for Lecture 8   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 9/14/15 Lectures 911
Read
Section 1.9, 1.10, the introductory example for Chapter 2, and start reading Sectgion 2.1.
NOTE: in Section 1.10, you can skip the example on electirical networks. But those interested in physics and engineering should certainly read it. Read the supplement (right column) titled "A Linear Difference Equation"  discussed in class
 WebWork Assignment WW3 due online by 11:59 p.m.Thursday, 9/17 (an extended deadline this week)
WW 4 will open at 12:01 a.m. on Wednesday, 9/16  HW3 due in class Friday, September 18
Sec.1.7: 28, 32, 36
Sec.1.8: 10, 12, 14, 16, 18, 20, 26, 32, 34
Sec.1.9: 4, 8, 10, 12, 14, 20, 30
Sec. 1.10: 10
Solutions for HW3
 Sec. 1.7: 27, 29
Sec. 1.8: 3, 7, 9, 21, 22, 25
Sec. 1.9: 15, 21, 23, 24, 39, 35
 PDFs for Lecture 9
Rotation Cartoon: is the matrix correct?
PDFs for Lecture 10
PDFs for Lecture 11
An example related to Sec. 1.10: A Linear Difference Equation   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 9/21/15
Lectures 1214
Read Sections 2.1  2.3; start Section 2.4  WebWork Assignment WW4 due online by 11:59 p.m.Tuesday, 9/22
WW 5 will open at 12:01 a.m. on Wednesday, 9/23  Homework 4 due in class Friday, September 25
Sec. 2.1: 4, 6, 10, 18, 22, 34
Sec. 2.2: 4, 14, 16, 20, 22, 24, 30, 32
Solutions for HW4
 Sec. 2.1: 11, 15, 16, 20, 21, 24
Sec. 2.2: 9, 10, 17, 31  PDFs for Lecture 12
PDFs for Lecture 13
EROs and Multiplication by Elementary Matrices
PDFs for Lecture 14
Invertible Matrix Theorem and Connections to Previous Work
Left and Right Inverses to a Matrix Optional
  WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 9/28/15
Lectures 1517
Read Sections 2.4
 2.5 (you can skip the factorization example in electircal
engineering, except that if you're in EE syou should want to read it.
 WebWork Assignment WW5 due online by 11:59 p.m. Thursday, 10/1 (an extended deadline this week)
WW6 will open at 12:01 a.m. on Wednesday, 9/30. Because of Exam 1 next week, WW6 will be open for for 2 weeks: due by 11:59 p.m. on Tuesday, October 13. However, you should do Problems 14 as part of your test preparation.  HW 5, due in class on Friday, October 2.
Sec. 2.3: 6, 8, 14, 16, 18, 26, (assume A is square otherwise not true!), 34,38
Sec. 2.4: 4, 8 (assume A is square), 10 (find X,Y,Z, in terms of A,B, C)
Sec 2.5: 2, 6, 10, 17
Solutions for HW5
 Sec. 2.3: 11, 12, 15, 23, 27 (assume A, B are square) )
Sec. 2.4: 1, 7
Sec 2.5: 1, 3, 15
 PDFs for Lecture 15
PDFs for Lecture 16 This
is a set of notes on
Section 2.5. I think they improve the exposition that's in the
textbook. You are responsible for the material in the notes down to
where the material marked OPTIONAL begins (about half way through)
PDFs for Lecture 17 (Leontieff Notes)
2 pages from Leontieff's Scientific American article (1965)   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 10/5/15 Lectures 1820
Read Sections 2.6 (and notes fposted from last Frida), 3.1, 3.2
Preliminary Information about Exam 1
Link for Practice Exam 1 (use Math 309 Exam from FL2012)
List of terms to know for Exam 1
Wednesday Oct 7 Exam 1, 79 p.m. in Lab Sciences 300
Solutions for Exam 1
 WebWork Assignment WW6 due online by 11:59 p.m.Tuesday 10/13 (an extended deadline because of the exam: no WW due this week/
 HW 6, due in class Friday, October 9 (shorter than usual because of the exam)
Sec 2.6: 6
Sec. 3.1: 6 (twice: once expanding across row 1, a second time going down col 2), 14, 20, 22
Solutions for HW6  Sec. 2.6: 5, 7
Sec. 3.1: 3, 11, 14
 PDFs for Lecture 18
PDFs for Lecture 19
PDFs for Lecture 20
Handout: A Linearity Property of Determinants
  WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 10/12/15 Lectures 2122
Read the part of Section 3.3 from p. 182186 (you can skip the earlier pages). Read also the pdf posted on A linearity Property of Determinants (also in text reading)
Read 4.1, and start reading 4.2
Exam Scores (part I) are in Blackboard. You can also go to the Math Department Score Lookup page to see which questions you missed.
Lectures 2122
Friday, October16 FALL BREAK NO CLASS  WebWork Assignment WW6 due online by 11:59 p.m.Tuesday, 10/13
WW 7 will open at 12:01 a.m. on Wednesday, 10/14  HW 7: There will be no homework due this week because of Fall Break. But there are some problems posted here as part of the assignment that will be due in class on Friday, October 23.
Sec. 3.2: 12, 18, 20, 26, 32, 40
Sec. 3.3: 22, 28, 30, 32
Sec. 4.1: 8, 10, 12, 18, 20, 22, 28, 32
More problems may be added to this assignment up until Tuesday, October 20, at 8 p.m.
 Sec. 3.2: 27, 28, 35
Sec. 3.3: 29
Sec. 4.1: 3, 17, 23, 24  PDFs for Lecture 21
Handout: A Linearity Property of Determinants
PDFs for Lecture 22
  WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 10/19/15 Lectures 2325
Read Sections 4.24.3 and start reading 4.4
 WebWork Assignment WW8 due online by 11:59 p.m.Tuesday, 10/20
WW 8 will open at 12:01 a.m. on Wednesday, 10/21  See
(above) the problems for HW 7 that were assigned last week. They are
part of the HW 7 assignment that is due on Friday, October 23
Sec, 4.2: 12, 14, 16, 28, 32
Sec. 4.3: 4,10
More problems may be added to this assignment up until Tuesday, October 20, at 8 p.m
Solutions for HW7
 Sec. 4.2: 23, 24, 25, 26, 33  PDFs for Lecture 23
PDFs for Lecture 24
PDFs for Lecture 25   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 10/26/15
Read Sections 4.44.6
Lectures 2628  WebWork Assignment WW8 due online by 11:59 p.m.Tuesday, 10/27
No new WW opens this week because of Exam 2 next week.
The next WW assignment, WW 9 will open no later than 12:01 a.m. Wednesday, 11/4 (perhaps earlier), and be due by 11:59 p.m. Tuesday, 11/10.
 HW8: Due in class Friday, October 30
Sec. 4.3: 16, 20, 26, 30, 34
Sec. 4.4: 4, 8, 14, 28, 32
Sec. 4.5: 4, 6, 8, 14
More problems may be added to this assignment up until Tuesday at 8 p.m.
Solutions for HW8  Sec. 4.3: 21, 22, 23, 34
Sec. 4.4: 15, 16
Sec. 4.5: 9, 19, 20, 29, 30  PDFs for Lecture 26
Supplement on Rotation of Axes
PDFs for Lecture 27 (includes extra example on changing bases)
PDFs for Lecture 28
Handout on the Four Fundamental Subspaces   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 11/2/15 Lectures 2931 Read
the notes (right column) for last Friday and Monday on the 4
fundamental subspaces, and on diagonalization; read Sections 5.1  5.2
Preliminary Information about Exam 2
Link for Practice Exam 2 (use Math 309 Exam 2 from FL2012)
List of some terms to know for Exam 2
Wednesday Nov 4 Exam 2, 79 p.m. in Lab Sciences 300
Solutions for Exam 2
 No WW assignment is due this week.
WW 9 will be open by 12:01 a.m. Wednesday, 11/4, and will be due online by 11:59 p.m. Tuesday, 11/10.
WW 10 will open at 12:01 a.m. on Wednesday, 11/11.  HW 9: Due in class Friday, November 6 (shorter than usual because of the exam)
Sec. 4.6: 4, 8, 14, 16, 22, 24, 26
(No more problems to be added this week)
Solutions for HW9
 Sec. 4.6: 3, 17, 18, 21  The very few pdfs for Lecture 29 are contained within these notes: Introduction to Diagonalization
No PDFs for Lecture 30
PDFs for Lecture 31: Diagonalization examples 
 WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 11/9 Lectures 3234 Read Sections 5.35.4
You can skip 5.5
Read
Sec. 5.6: focus on the predatorprey example and the spotted owls
example. For background, be sure to read the intorductory
application for Chapter 5 on pp. 267268..
Start reading Section 6.1.  WW 9 is due online by 11:59 p.m. Tuesday, 11/10.
WW 10 will open at 12:01 a.m. on Wednesday, 11/11  HW 10: Due in class Friday, November 13
Sec. 5.1: 12, 16, 20, 26, 27, 32
Sec 5.2: 4, 14, 18, 19
Sec 5.3: 4, 6, 12 (note that the eigenvalues for 12 are given in the paragraph preceding #7) ,20, 24, 26, 27, 32
Solutions for HW10
 Sec. 5.1: 22, 23, 35
Sec. 5.2: 19, 21, 22
Sec. 5.3: 16, 21, 22, 27  PDFs for Lecture 32
Supplementary proofs about diagonalization
PDFs for Lecture 33
PDFs for Lecture 34
Supplementary material: Diagonalization and Fibonacci numbers   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 11/16/15 Lectures 3537
Read Sections 6.16.2 and start on 6.3
 WW10 is due online by 11:59 p.m. on Tuesday, 11/17.
WW 11 will open at 12:01 a.m. on Wednesday, 11/18  HW 11: Due in class Friday, November 20
Sec. 5.4: 2, 4, 6, 10, 18
Sec. 5.6: 4, 6
Sec. 6.1: 10, 14, 24, 28
Sec. 6.2: 10, 14, 16, 22, 28, 34
Solutions for HW11  Sec. 5.4: 9, 23
Sec. 6.1: 19, 20, 25
Sec. 6.2: 13, 15, 23, 24, 27
 PDFs for Lecture 35
PDFs for Lecture 36
PDFs for Lecture 37   WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 11/23/15 Lectures 38
Read Sections 6.36.4 (you can skip the QRFactorization section if you likeit does come up a lot in engineering applications) and the handout (in class, & online) about the GramSchmidt Process.
WedFri Nov 25/27 THANKSGIVING BREAK: NO CLASS
Have a nice Thanksgiving Holiday!
 WW11 is due online by 11:59 p.m. on Tuesday, 11/24.
WW12
will open at 12:01 a.m. on Wednesday, 11/25, but it will not be due
until 11:59 p.m. on Friday, 12/4 (the last day of class)
 HW12 will be due in class on Friday, 12/4 (the last day of class)
The HW12 problems are all listed together in next wek's section of the table.
 Sec. 6.3: 21, 22, 23
Sec. 6.4: 17,18
 PDFs for Lecture 38
Handout on the GramSchmidt Process
  WebWorK  Written Homework Hand
In  Recommended (not to hand in)  Supplements & Solutions  Week of 11/30/15
Be sure to read the introductory example for Chapter 6 (pp. 331332) and a good motivation for Sections 6.56.6
Read Sec 6.5 stopping at the end of Example 4), and Sec. 6.6
Lectures 3941
 WW12 is due online by 11:59 p.m. on Friday, 12/4.
 The
problems for HW 12 (including those on last week's topics) are all
listed here since they are not due until Friday,12/4.
Sec. 6.3: 6. 10, 14, 18, 20, 24
Sec. 6.4: 6,12, 20 (although the problem contains the letters Q and R, you do not need to know anything about QR factorizations.)
Sec, 6.5: 4, 8, 10, 14, 20, 25
Sec. 6.6: 4, 8 (part a) only), 10 (part a) only)
PDF file containing Problem 25 from Sec. 6.5 (missing in some online textbooks)
Solutions for HW12
 Sec. 6.5: 17, 18
Sec. 6.6: 5, 9  PDFs for Lecture 39
PDFs for Lecture 40
PDFs for Lecture 41
Some notes and example about innerproduct spaces (optional supplement related to unnassigned material in 6.7) 
